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99725609315952 = 243310310720946041
BaseRepresentation
bin10110101011001100101101…
…100001001010111001110000
3111002002200020011211112201000
4112223030231201022321300
5101032401021441102302
6552033151254042000
730001636364620404
oct2653145541127160
9432080204745630
1099725609315952
1129859436688004
12b2275a8949300
134385113b5b839
141a8aa60d47104
15b7e15a54131c
hex5ab32d84ae70

99725609315952 has 160 divisors (see below), whose sum is σ = 291729770242560. Its totient is φ = 32611476165120.

The previous prime is 99725609315939. The next prime is 99725609315987. The reversal of 99725609315952 is 25951390652799.

99725609315952 is a `hidden beast` number, since 9 + 9 + 7 + 2 + 5 + 609 + 3 + 1 + 5 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5711949 + ... + 15234092.

It is an arithmetic number, because the mean of its divisors is an integer number (1823311064016).

Almost surely, 299725609315952 is an apocalyptic number.

It is an amenable number.

99725609315952 is an abundant number, since it is smaller than the sum of its proper divisors (192004160926608).

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

99725609315952 is a wasteful number, since it uses less digits than its factorization.

99725609315952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20946268 (or 20946256 counting only the distinct ones).

The product of its (nonzero) digits is 413343000, while the sum is 72.

The spelling of 99725609315952 in words is "ninety-nine trillion, seven hundred twenty-five billion, six hundred nine million, three hundred fifteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 103 107 108 144 206 214 216 309 321 412 428 432 618 642 824 856 927 963 1236 1284 1648 1712 1854 1926 2472 2568 2781 2889 3708 3852 4944 5136 5562 5778 7416 7704 11021 11124 11556 14832 15408 22042 22248 23112 33063 44084 44496 46224 66126 88168 99189 132252 176336 198378 264504 297567 396756 529008 595134 793512 1190268 1587024 2380536 4761072 20946041 41892082 62838123 83784164 125676246 167568328 188514369 251352492 335136656 377028738 502704984 565543107 754057476 1005409968 1131086214 1508114952 2157442223 2241226387 2262172428 3016229904 4314884446 4482452774 4524344856 6472326669 6723679161 8629768892 8964905548 9048689712 12944653338 13447358322 17259537784 17929811096 19416980007 20171037483 25889306676 26894716644 34519075568 35859622192 38833960014 40342074966 51778613352 53789433288 58250940021 60513112449 77667920028 80684149932 103557226704 107578866576 116501880042 121026224898 155335840056 161368299864 230846317861 233003760084 242052449796 310671680112 322736599728 461692635722 466007520168 484104899592 692538953583 923385271444 932015040336 968209799184 1385077907166 1846770542888 2077616860749 2770155814332 3693541085776 4155233721498 5540311628664 6232850582247 8310467442996 11080623257328 12465701164494 16620934885992 24931402328988 33241869771984 49862804657976 99725609315952