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376085374564 = 2217410612
BaseRepresentation
bin1010111100100000110…
…11110110011001100100
31022221202000222112011211
411132100123312121210
522130210323441224
6444434330441204
736112513636654
oct5362033663144
91287660875154
10376085374564
11135551431349
1260a7a293204
1329606c347c3
14142ba02c364
159bb216d894
hex57906f6664

376085374564 has 45 divisors (see below), whose sum is σ = 699942951421. Its totient is φ = 176814546560.

The previous prime is 376085374541. The next prime is 376085374589. The reversal of 376085374564 is 465473580673.

The square root of 376085374564 is 613258.

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 414448164 + 375670926400 = 20358^2 + 612920^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 376085374499 and 376085374508.

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, 354462594 + ... + 354463654.

Almost surely, 2376085374564 is an apocalyptic number.

376085374564 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

376085374564 is the 613258-th square number.

It is an amenable number.

376085374564 is a deficient number, since it is larger than the sum of its proper divisors (323857576857).

376085374564 is an frugal number, since it uses more digits than its factorization.

376085374564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 58.

The spelling of 376085374564 in words is "three hundred seventy-six billion, eighty-five million, three hundred seventy-four thousand, five hundred sixty-four".

Divisors: 1 2 4 17 34 68 289 578 1061 1156 2122 4244 4913 9826 18037 19652 36074 72148 83521 167042 306629 334084 613258 1125721 1226516 2251442 4502884 5212693 10425386 19137257 20850772 38274514 76549028 88615781 177231562 325333369 354463124 650666738 1301333476 5530667273 11061334546 22122669092 94021343641 188042687282 376085374564