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136430974848 = 273756598969
BaseRepresentation
bin111111100001111101…
…0110111011110000000
3111001011002221121122110
41333003322313132000
54213402312143343
6142401525135320
712566613103110
oct1770372673600
9431132847573
10136430974848
1152950801783
122253655a540
13cb333387ac
146863623040
15383772c833
hex1fc3eb7780

136430974848 has 128 divisors (see below), whose sum is σ = 414284832000. Its totient is φ = 38969044992.

The previous prime is 136430974811. The next prime is 136430974877. The reversal of 136430974848 is 848479034631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1364309748482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15206908 + ... + 15215876.

It is an arithmetic number, because the mean of its divisors is an integer number (3236600250).

Almost surely, 2136430974848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136430974848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207142416000).

136430974848 is an abundant number, since it is smaller than the sum of its proper divisors (277853857152).

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

136430974848 is an equidigital number, since it uses as much as digits as its factorization.

136430974848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14652 (or 14640 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 136430974848 in words is "one hundred thirty-six billion, four hundred thirty million, nine hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 5659 8969 11318 16977 17938 22636 26907 33954 35876 39613 45272 53814 62783 67908 71752 79226 90544 107628 118839 125566 135816 143504 158452 181088 188349 215256 237678 251132 271632 287008 316904 362176 376698 430512 475356 502264 543264 574016 633808 724352 753396 861024 950712 1004528 1086528 1148032 1267616 1506792 1722048 1901424 2009056 2173056 2535232 3013584 3444096 3802848 4018112 5070464 6027168 7605696 8036224 12054336 15211392 24108672 50755571 101511142 152266713 203022284 304533426 355288997 406044568 609066852 710577994 812089136 1065866991 1218133704 1421155988 1624178272 2131733982 2436267408 2842311976 3248356544 4263467964 4872534816 5684623952 6496713088 8526935928 9745069632 11369247904 17053871856 19490139264 22738495808 34107743712 45476991616 68215487424 136430974848