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377320261696 = 267415672
BaseRepresentation
bin1010111110110100000…
…10100100100001000000
31100001221002122021212021
411133122002210201000
522140222441333241
6445201042411224
736155230210000
oct5373202444100
91301832567767
10377320261696
111360254a6324
1261163960b14
1329772a22551
1414396040000
159c3579b0d1
hex57da0a4840

377320261696 has 105 divisors (see below), whose sum is σ = 874041515439. Its totient is φ = 161605487232.

The previous prime is 377320261691. The next prime is 377320261711. The reversal of 377320261696 is 696162023773.

The square root of 377320261696 is 614264.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (377320261691) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 240790705 + ... + 240792271.

Almost surely, 2377320261696 is an apocalyptic number.

377320261696 is the 614264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377320261696

377320261696 is an abundant number, since it is smaller than the sum of its proper divisors (496721253743).

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

377320261696 is an frugal number, since it uses more digits than its factorization.

377320261696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 52.

The spelling of 377320261696 in words is "three hundred seventy-seven billion, three hundred twenty million, two hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1567 1568 2401 2744 3134 3136 4802 5488 6268 9604 10969 10976 12536 19208 21938 21952 25072 38416 43876 50144 76783 76832 87752 100288 153566 153664 175504 307132 351008 537481 614264 702016 1074962 1228528 2149924 2455489 2457056 3762367 4299848 4910978 4914112 7524734 8599696 9821956 15049468 17188423 17199392 19643912 30098936 34376846 34398784 39287824 60197872 68753692 78575648 120318961 120395744 137507384 157151296 240637922 240791488 275014768 481275844 550029536 842232727 962551688 1100059072 1684465454 1925103376 3368930908 3850206752 5895629089 6737861816 7700413504 11791258178 13475723632 23582516356 26951447264 47165032712 53902894528 94330065424 188660130848 377320261696