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661203056412 = 2232173137941933
BaseRepresentation
bin10011001111100101100…
…01011111011100011100
32100012200101012110101100
421213302301133130130
541313120440301122
61223430312113100
765525141150553
oct11476261373434
92305611173340
10661203056412
11235461984758
12a818b695790
134a47470c0a2
1424006820d9a
15122ed011aac
hex99f2c5f71c

661203056412 has 144 divisors (see below), whose sum is σ = 1876151676672. Its totient is φ = 195319019520.

The previous prime is 661203056407. The next prime is 661203056417. The reversal of 661203056412 is 214650302166.

661203056412 is a `hidden beast` number, since 6 + 6 + 1 + 2 + 0 + 3 + 0 + 5 + 641 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (661203056407) and next prime (661203056417).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661203056417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230998 + ... + 1172930.

It is an arithmetic number, because the mean of its divisors is an integer number (13028831088).

Almost surely, 2661203056412 is an apocalyptic number.

661203056412 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661203056412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938075838336).

661203056412 is an abundant number, since it is smaller than the sum of its proper divisors (1214948620260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

661203056412 is a wasteful number, since it uses less digits than its factorization.

661203056412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942028 (or 942023 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 661203056412 its reverse (214650302166), we get a palindrome (875853358578).

The spelling of 661203056412 in words is "six hundred sixty-one billion, two hundred three million, fifty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 37 51 62 68 74 93 102 111 124 148 153 186 204 222 279 306 333 372 444 527 558 612 629 666 1054 1116 1147 1258 1332 1581 1887 2108 2294 2516 3162 3441 3774 4588 4743 5661 6324 6882 7548 9486 10323 11322 13764 18972 19499 20646 22644 38998 41292 58497 77996 116994 175491 233988 350982 701964 941933 1883866 2825799 3767732 5651598 8477397 11303196 16012861 16954794 29199923 32025722 33909588 34851521 48038583 58399846 64051444 69703042 87599769 96077166 104554563 116799692 139406084 144115749 175199538 192154332 209109126 262799307 288231498 313663689 350399076 418218252 496398691 525598614 576462996 592475857 627327378 992797382 1051197228 1080397151 1184951714 1254654756 1489196073 1777427571 1985594764 2160794302 2369903428 2978392146 3241191453 3554855142 4321588604 4467588219 5332282713 5956784292 6482382906 7109710284 8935176438 9723574359 10664565426 12964765812 17870352876 18366751567 19447148718 21329130852 36733503134 38894297436 55100254701 73467006268 110200509402 165300764103 220401018804 330601528206 661203056412