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157434619136 = 2853109106453
BaseRepresentation
bin1001001010011111010…
…1011010010100000000
3120001100220000022000212
42102213311122110000
510034411230303021
6200154030133252
714242243116464
oct2224765322400
9501326008025
10157434619136
1160849813593
1226618651228
1311acc928292
147896d244a4
15416664985b
hex24a7d5a500

157434619136 has 72 divisors (see below), whose sum is σ = 323124084360. Its totient is φ = 76522807296.

The previous prime is 157434619103. The next prime is 157434619183. The reversal of 157434619136 is 631916434751.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77141729536 + 80292889600 = 277744^2 + 283360^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1425686 + ... + 1532138.

It is an arithmetic number, because the mean of its divisors is an integer number (4487834505).

Almost surely, 2157434619136 is an apocalyptic number.

157434619136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157434619136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161562042180).

157434619136 is an abundant number, since it is smaller than the sum of its proper divisors (165689465224).

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

157434619136 is a wasteful number, since it uses less digits than its factorization.

157434619136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106631 (or 106617 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 50.

The spelling of 157434619136 in words is "one hundred fifty-seven billion, four hundred thirty-four million, six hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 64 106 109 128 212 218 256 424 436 848 872 1696 1744 3392 3488 5777 6784 6976 11554 13568 13952 23108 27904 46216 92432 106453 184864 212906 369728 425812 739456 851624 1478912 1703248 3406496 5642009 6812992 11284018 11603377 13625984 22568036 23206754 27251968 45136072 46413508 90272144 92827016 180544288 185654032 361088576 371308064 614978981 722177152 742616128 1229957962 1444354304 1485232256 2459915924 2970464512 4919831848 9839663696 19679327392 39358654784 78717309568 157434619136