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80928144264 = 233112313328087
BaseRepresentation
bin100101101011110110…
…0010111101110001000
321201220000120200120110
41023113230113232020
52311220101104024
6101102230554320
75563321606362
oct1132754275610
9251800520513
1080928144264
1131359911660
12138268089a0
1378295038c6
143cba13dd32
152189c09629
hex12d7b17b88

80928144264 has 64 divisors (see below), whose sum is σ = 230309360640. Its totient is φ = 23457431360.

The previous prime is 80928144263. The next prime is 80928144293. The reversal of 80928144264 is 46244182908.

It is a happy number.

It is a super-2 number, since 2×809281442642 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (80928144263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6657972 + ... + 6670115.

It is an arithmetic number, because the mean of its divisors is an integer number (3598583760).

Almost surely, 280928144264 is an apocalyptic number.

It is an amenable number.

80928144264 is an abundant number, since it is smaller than the sum of its proper divisors (149381216376).

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

80928144264 is a wasteful number, since it uses less digits than its factorization.

80928144264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13328130 (or 13328126 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 80928144264 in words is "eighty billion, nine hundred twenty-eight million, one hundred forty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 13328087 26656174 39984261 53312348 79968522 106624696 146608957 159937044 293217914 306546001 319874088 439826871 586435828 613092002 879653742 919638003 1172871656 1226184004 1759307484 1839276006 2452368008 3372006011 3518614968 3678552012 6744012022 7357104024 10116018033 13488024044 20232036066 26976048088 40464072132 80928144264