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104225931072 = 2632374890481
BaseRepresentation
bin110000100010001011…
…0010111111101000000
3100222000200110212212100
41201010112113331000
53201423314243242
6115514123230400
710346546540154
oct1410426277500
9328020425770
10104225931072
114022490371a
1218249078400
139aa0197383
14508a3c7064
152aa023c54c
hex1844597f40

104225931072 has 84 divisors (see below), whose sum is σ = 306819059716. Its totient is φ = 33802997760.

The previous prime is 104225931071. The next prime is 104225931107. The reversal of 104225931072 is 270139522401.

104225931072 is a `hidden beast` number, since 10 + 42 + 2 + 593 + 10 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95051356416 + 9174574656 = 308304^2 + 95784^2 .

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 (104225931071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2423929 + ... + 2466552.

Almost surely, 2104225931072 is an apocalyptic number.

104225931072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104225931072 is an abundant number, since it is smaller than the sum of its proper divisors (202593128644).

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

104225931072 is a wasteful number, since it uses less digits than its factorization.

104225931072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4890536 (or 4890523 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 104225931072 in words is "one hundred four billion, two hundred twenty-five million, nine hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2664 3552 5328 7104 10656 21312 4890481 9780962 14671443 19561924 29342886 39123848 44014329 58685772 78247696 88028658 117371544 156495392 176057316 180947797 234743088 312990784 352114632 361895594 469486176 542843391 704229264 723791188 938972352 1085686782 1408458528 1447582376 1628530173 2171373564 2816917056 2895164752 3257060346 4342747128 5790329504 6514120692 8685494256 11580659008 13028241384 17370988512 26056482768 34741977024 52112965536 104225931072