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10434455400204 = 22321140576494857
BaseRepresentation
bin1001011111010111011000…
…0000011110111100001100
31100221112011010201022021200
42113311312000132330030
52331424231040301304
634105304520025500
72124602350331163
oct227656600367414
940845133638250
1010434455400204
113363256058580
121206326002290
135a8c70c1b024
1428105d3563da
15131656693e39
hex97d7601ef0c

10434455400204 has 72 divisors (see below), whose sum is σ = 28780898070288. Its totient is φ = 3161176312320.

The previous prime is 10434455400197. The next prime is 10434455400269. The reversal of 10434455400204 is 40200455443401.

10434455400204 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 4 + 45 + 5 + 400 + 204 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1640857 + ... + 4854000.

Almost surely, 210434455400204 is an apocalyptic number.

It is an amenable number.

10434455400204 is an abundant number, since it is smaller than the sum of its proper divisors (18346442670084).

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

10434455400204 is a wasteful number, since it uses less digits than its factorization.

10434455400204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498935 (or 6498930 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 10434455400204 in words is "ten trillion, four hundred thirty-four billion, four hundred fifty-five million, four hundred thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 4057 8114 12171 16228 24342 36513 44627 48684 73026 89254 133881 146052 178508 267762 401643 535524 803286 1606572 6494857 12989714 19484571 25979428 38969142 58453713 71443427 77938284 116907426 142886854 214330281 233814852 285773708 428660562 642990843 857321124 1285981686 2571963372 26349634849 52699269698 79048904547 105398539396 158097809094 237146713641 289845983339 316195618188 474293427282 579691966678 869537950017 948586854564 1159383933356 1739075900034 2608613850051 3478151800068 5217227700102 10434455400204