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379470946272 = 253112291569203
BaseRepresentation
bin1011000010110100011…
…10110001111111100000
31100021110222112101110120
411201122032301333200
522204124030240042
6450154311200240
736262433552265
oct5413216617740
91307428471416
10379470946272
11136a295024a0
1261664076080
1329a26478282
141451b92126c
159d0e4c5dec
hex585a3b1fe0

379470946272 has 96 divisors (see below), whose sum is σ = 1091412766080. Its totient is φ = 114488977920.

The previous prime is 379470946249. The next prime is 379470946367. The reversal of 379470946272 is 272649074973.

379470946272 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3794709462722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542778 + ... + 1026425.

It is an arithmetic number, because the mean of its divisors is an integer number (11368882980).

Almost surely, 2379470946272 is an apocalyptic number.

379470946272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

379470946272 is an abundant number, since it is smaller than the sum of its proper divisors (711941819808).

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

379470946272 is a wasteful number, since it uses less digits than its factorization.

379470946272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569456 (or 1569448 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 60.

The spelling of 379470946272 in words is "three hundred seventy-nine billion, four hundred seventy million, nine hundred forty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 229 264 352 458 528 687 916 1056 1374 1832 2519 2748 3664 5038 5496 7328 7557 10076 10992 15114 20152 21984 30228 40304 60456 80608 120912 241824 1569203 3138406 4707609 6276812 9415218 12553624 17261233 18830436 25107248 34522466 37660872 50214496 51783699 69044932 75321744 103567398 138089864 150643488 207134796 276179728 359347487 414269592 552359456 718694974 828539184 1078042461 1437389948 1657078368 2156084922 2874779896 3952822357 4312169844 5749559792 7905644714 8624339688 11499119584 11858467071 15811289428 17248679376 23716934142 31622578856 34497358752 47433868284 63245157712 94867736568 126490315424 189735473136 379470946272