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157912699680 = 25325195771663
BaseRepresentation
bin1001001100010001010…
…1001001001100100000
3120002121012121022020200
42103010111021030200
510041401122342210
6200313305105200
714260136541351
oct2230425111440
9502535538220
10157912699680
1160a7466957a
1226730788200
1311b779a7388
147900611d28
1541935d30c0
hex24c4549320

157912699680 has 144 divisors (see below), whose sum is σ = 567239137920. Its totient is φ = 39893727744.

The previous prime is 157912699667. The next prime is 157912699723. The reversal of 157912699680 is 86996219751.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×1579126996804 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2858472 + ... + 2913191.

It is an arithmetic number, because the mean of its divisors is an integer number (3939160680).

Almost surely, 2157912699680 is an apocalyptic number.

157912699680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157912699680 is an abundant number, since it is smaller than the sum of its proper divisors (409326438240).

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

157912699680 is a wasteful number, since it uses less digits than its factorization.

157912699680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5771703 (or 5771692 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 157912699680 in words is "one hundred fifty-seven billion, nine hundred twelve million, six hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 5771663 11543326 17314989 23086652 28858315 34629978 46173304 51944967 57716630 69259956 86574945 92346608 103889934 109661597 115433260 138519912 173149890 184693216 207779868 219323194 230866520 259724835 277039824 328984791 346299780 415559736 438646388 461733040 519449670 548307985 554079648 657969582 692599560 831119472 877292776 923466080 986954373 1038899340 1096615970 1315939164 1385199120 1644923955 1662238944 1754585552 1973908746 2077798680 2193231940 2631878328 2770398240 3289847910 3509171104 3947817492 4155597360 4386463880 4934771865 5263756656 6579695820 7895634984 8311194720 8772927760 9869543730 10527513312 13159391640 15791269968 17545855520 19739087460 26318783280 31582539936 39478174920 52637566560 78956349840 157912699680