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157075883584 = 2610724632
BaseRepresentation
bin1001001001001001110…
…0111100011001000000
3120000102212222122100221
42102102130330121000
510033142411233314
6200054253152424
714230325660314
oct2222234743100
9500385878327
10157075883584
1160685272224
122653848b714
1311a73503c19
147861421b44
154144dd7824
hex249273c640

157075883584 has 63 divisors (see below), whose sum is σ = 315318772587. Its totient is φ = 77635899264.

The previous prime is 157075883561. The next prime is 157075883593. The reversal of 157075883584 is 485388570751.

It is a happy number.

The square root of 157075883584 is 396328.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 339256537 + ... + 339256999.

Almost surely, 2157075883584 is an apocalyptic number.

157075883584 is the 396328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157075883584

157075883584 is an abundant number, since it is smaller than the sum of its proper divisors (158242889003).

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

157075883584 is an frugal number, since it uses more digits than its factorization.

157075883584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 37632000, while the sum is 61.

The spelling of 157075883584 in words is "one hundred fifty-seven billion, seventy-five million, eight hundred eighty-three thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 107 214 428 463 856 926 1712 1852 3424 3704 6848 7408 11449 14816 22898 29632 45796 49541 91592 99082 183184 198164 214369 366368 396328 428738 732736 792656 857476 1585312 1714952 3170624 3429904 5300887 6859808 10601774 13719616 21203548 22937483 42407096 45874966 84814192 91749932 169628384 183499864 339256768 366999728 733999456 1467998912 2454310681 4908621362 9817242724 19634485448 39268970896 78537941792 157075883584