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661198874742 = 232729331546683
BaseRepresentation
bin10011001111100101000…
…01100010100001110110
32100012200002100000012200
421213302201202201312
541313113402442432
61223430042325330
765525060463240
oct11476241424166
92305602300180
10661198874742
1123545a588a2a
12a818a1b9846
134a4738a6923
1424006053090
15122ec987a7c
hex99f2862876

661198874742 has 96 divisors (see below), whose sum is σ = 1698831463680. Its totient is φ = 181848300480.

The previous prime is 661198874723. The next prime is 661198874747. The reversal of 661198874742 is 247478891166.

661198874742 is a `hidden beast` number, since 6 + 611 + 9 + 8 + 8 + 7 + 4 + 7 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 661198874742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661198874747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 936133 + ... + 1482815.

It is an arithmetic number, because the mean of its divisors is an integer number (17696161080).

Almost surely, 2661198874742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661198874742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849415731840).

661198874742 is an abundant number, since it is smaller than the sum of its proper divisors (1037632588938).

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

661198874742 is a wasteful number, since it uses less digits than its factorization.

661198874742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547058 (or 547055 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 661198874742 in words is "six hundred sixty-one billion, one hundred ninety-eight million, eight hundred seventy-four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 331 406 522 609 662 993 1218 1827 1986 2317 2979 3654 4634 5958 6951 9599 13902 19198 20853 28797 41706 57594 67193 86391 134386 172782 201579 403158 546683 604737 1093366 1209474 1640049 3280098 3826781 4920147 7653562 9840294 11480343 15853807 22960686 31707614 34441029 47561421 68882058 95122842 110976649 142684263 180952073 221953298 285368526 332929947 361904146 542856219 665859894 998789841 1085712438 1266664511 1628568657 1997579682 2533329022 3257137314 3799993533 5247610117 7599987066 10495220234 11399980599 15742830351 22799961198 31485660702 36733270819 47228491053 73466541638 94456982106 110199812457 220399624914 330599437371 661198874742