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319072621660816 = 24592756892
BaseRepresentation
bin100100010001100011110001…
…0010001011000101010010000
31112211202001012121110021110011
41020203013202101120222100
5313310141212121121231
63050335534442044304
7124131144003630412
oct11043074221305220
91484661177407404
10319072621660816
1192736a367a3271
122b9524b34a9694
131090655aa5294a
1458b12a95029b2
1526d4c277ec9b1
hex12231e2458a90

319072621660816 has 45 divisors (see below), whose sum is σ = 628867127015881. Its totient is φ = 156830233500032.

The previous prime is 319072621660781. The next prime is 319072621660823. The reversal of 319072621660816 is 618066126270913.

The square root of 319072621660816 is 17862604.

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

It can be written as a sum of positive squares in only one way, i.e., 317994347100816 + 1078274560000 = 17832396^2 + 1038400^2 .

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, 4215536700 + ... + 4215612388.

Almost surely, 2319072621660816 is an apocalyptic number.

319072621660816 is the 17862604-th square number.

It is an amenable number.

319072621660816 is a deficient number, since it is larger than the sum of its proper divisors (309794505355065).

319072621660816 is an frugal number, since it uses more digits than its factorization.

319072621660816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151504 (or 75750 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 319072621660816 in words is "three hundred nineteen trillion, seventy-two billion, six hundred twenty-one million, six hundred sixty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 59 118 236 472 944 3481 6962 13924 27848 55696 75689 151378 302756 605512 1211024 4465651 8931302 17862604 35725208 71450416 263473409 526946818 1053893636 2107787272 4215574544 5728824721 11457649442 22915298884 45830597768 91661195536 338000658539 676001317078 1352002634156 2704005268312 5408010536624 19942038853801 39884077707602 79768155415204 159536310830408 319072621660816