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61350012 = 223219257349
BaseRepresentation
bin1110101000001…
…0000001111100
311021102220101200
43222002001330
5111201200022
610030535500
71343316003
oct352020174
9137386350
1061350012
11316a3199
1218667590
13c9305a9
14820dc3a
1555bcbac
hex3a8207c

61350012 has 72 divisors (see below), whose sum is σ = 164346000. Its totient is φ = 19243008.

The previous prime is 61349999. The next prime is 61350041. The reversal of 61350012 is 21005316.

61350012 is a `hidden beast` number, since 613 + 50 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175614 + ... + 175962.

Almost surely, 261350012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61350012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82173000).

61350012 is an abundant number, since it is smaller than the sum of its proper divisors (102995988).

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

61350012 is a wasteful number, since it uses less digits than its factorization.

61350012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 61350012 is about 7832.6248473931. The cubic root of 61350012 is about 394.4011906342.

Adding to 61350012 its reverse (21005316), we get a palindrome (82355328).

It can be divided in two parts, 613 and 50012, that added together give a 4-th power (50625 = 154).

The spelling of 61350012 in words is "sixty-one million, three hundred fifty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 257 342 349 514 684 698 771 1028 1047 1396 1542 2094 2313 3084 3141 4188 4626 4883 6282 6631 9252 9766 12564 13262 14649 19532 19893 26524 29298 39786 43947 58596 59679 79572 87894 89693 119358 175788 179386 238716 269079 358772 538158 807237 1076316 1614474 1704167 3228948 3408334 5112501 6816668 10225002 15337503 20450004 30675006 61350012