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468207012 = 2237133113831
BaseRepresentation
bin11011111010000…
…100010110100100
31012122000101021110
4123322010112210
51424330111022
6114243145020
714413460010
oct3372042644
91178011243
10468207012
11220321949
12110975170
1376002c90
144627b540
152b18800c
hex1be845a4

468207012 has 96 divisors (see below), whose sum is σ = 1388068864. Its totient is φ = 119491200.

The previous prime is 468207007. The next prime is 468207029. The reversal of 468207012 is 210702864.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26937 + ... + 40767.

Almost surely, 2468207012 is an apocalyptic number.

468207012 is a gapful number since it is divisible by the number (42) 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 468207012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694034432).

468207012 is an abundant number, since it is smaller than the sum of its proper divisors (919861852).

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

468207012 is a wasteful number, since it uses less digits than its factorization.

468207012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13889 (or 13887 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 468207012 is about 21638.0916903501. The cubic root of 468207012 is about 776.5080657152.

Adding to 468207012 its reverse (210702864), we get a palindrome (678909876).

The spelling of 468207012 in words is "four hundred sixty-eight million, two hundred seven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 273 364 372 403 434 546 651 806 868 1092 1209 1302 1612 2418 2604 2821 4836 5642 8463 11284 13831 16926 27662 33852 41493 55324 82986 96817 165972 179803 193634 290451 359606 387268 428761 539409 580902 719212 857522 1078818 1161804 1258621 1286283 1715044 2157636 2517242 2572566 3001327 3775863 5034484 5145132 5573893 6002654 7551726 9003981 11147786 12005308 15103452 16721679 18007962 22295572 33443358 36015924 39017251 66886716 78034502 117051753 156069004 234103506 468207012