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99929325456 = 243629272
BaseRepresentation
bin101110100010001000…
…0000111111110010000
3100112221020122201000000
41131010100013332100
53114123401403311
6113523520130000
710135225152162
oct1350420077620
9315836581000
1099929325456
113941a554294
121744a166900
139566c95b9c
144b9d904932
1528ece29056
hex1744407f90

99929325456 has 105 divisors (see below), whose sum is σ = 290386017931. Its totient is φ = 33298394976.

The previous prime is 99929325451. The next prime is 99929325473. The reversal of 99929325456 is 65452392999.

The square root of 99929325456 is 316116.

It is a perfect power (a square), and thus also a powerful number.

99929325456 is a `hidden beast` number, since 9 + 9 + 92 + 93 + 2 + 5 + 456 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 99929325393 and 99929325402.

It is not an unprimeable number, because it can be changed into a prime (99929325451) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 34139065 + ... + 34141991.

Almost surely, 299929325456 is an apocalyptic number.

99929325456 is the 316116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99929325456

99929325456 is an abundant number, since it is smaller than the sum of its proper divisors (190456692475).

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

99929325456 is an frugal number, since it uses more digits than its factorization.

99929325456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880 (or 2932 counting only the distinct ones).

The product of its digits is 47239200, while the sum is 63.

The spelling of 99929325456 in words is "ninety-nine billion, nine hundred twenty-nine million, three hundred twenty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 2927 3888 5832 5854 8781 11664 11708 17562 23416 26343 35124 46832 52686 70248 79029 105372 140496 158058 210744 237087 316116 421488 474174 632232 711261 948348 1264464 1422522 1896696 2133783 2845044 3793392 4267566 5690088 8535132 8567329 11380176 17070264 17134658 25701987 34140528 34269316 51403974 68538632 77105961 102807948 137077264 154211922 205615896 231317883 308423844 411231792 462635766 616847688 693953649 925271532 1233695376 1387907298 1850543064 2081860947 2775814596 3701086128 4163721894 5551629192 6245582841 8327443788 11103258384 12491165682 16654887576 24982331364 33309775152 49964662728 99929325456