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156923730496 = 261342932
BaseRepresentation
bin1001001000100101100…
…0100001101001000000
3120000001021200110120101
42102021120201221000
510032334433333441
6200031220052144
714223500462311
oct2221130415100
9500037613511
10156923730496
116060739a375
12264b5534054
1311a4ab30000
147849136608
154136880231
hex2489621a40

156923730496 has 105 divisors (see below), whose sum is σ = 338499521501. Its totient is φ = 72179148288.

The previous prime is 156923730473. The next prime is 156923730503. The reversal of 156923730496 is 694037329651.

The square root of 156923730496 is 396136.

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

It can be written as a sum of positive squares in 7 ways, for example, as 113299560000 + 43624170496 = 336600^2 + 208864^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 535575726 + ... + 535576018.

Almost surely, 2156923730496 is an apocalyptic number.

156923730496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

156923730496 is the 396136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156923730496

156923730496 is an abundant number, since it is smaller than the sum of its proper divisors (181575791005).

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

156923730496 is an frugal number, since it uses more digits than its factorization.

156923730496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 55.

The spelling of 156923730496 in words is "one hundred fifty-six billion, nine hundred twenty-three million, seven hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 293 338 416 586 676 832 1172 1352 2197 2344 2704 3809 4394 4688 5408 7618 8788 9376 10816 15236 17576 18752 28561 30472 35152 49517 57122 60944 70304 85849 99034 114244 121888 140608 171698 198068 228488 243776 343396 396136 456976 643721 686792 792272 913952 1116037 1287442 1373584 1584544 1827904 2232074 2574884 2747168 3169088 4464148 5149768 5494336 8368373 8928296 10299536 14508481 16736746 17856592 20599072 29016962 33473492 35713184 41198144 58033924 66946984 71426368 116067848 133893968 188610253 232135696 267787936 377220506 464271392 535575872 754441012 928542784 1508882024 2451933289 3017764048 4903866578 6035528096 9807733156 12071056192 19615466312 39230932624 78461865248 156923730496