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2372088768 = 263711315619
BaseRepresentation
bin1000110101100011…
…0011001111000000
320010022111121001120
42031120303033000
514324223320033
61031214032240
7112532264460
oct21530631700
96108447046
102372088768
111007a89445
125624a8680
132ba59562a
14187075ba0
15dd3b11b3
hex8d6333c0

2372088768 has 112 divisors (see below), whose sum is σ = 7236683520. Its totient is φ = 671698944.

The previous prime is 2372088767. The next prime is 2372088781. The reversal of 2372088768 is 8678802732.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 2372088768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2372088767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144063 + ... + 159681.

Almost surely, 22372088768 is an apocalyptic number.

2372088768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2372088768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618341760).

2372088768 is an abundant number, since it is smaller than the sum of its proper divisors (4864594752).

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

2372088768 is a wasteful number, since it uses less digits than its factorization.

2372088768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15754 (or 15744 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 2372088768 is about 48704.0939552313. The cubic root of 2372088768 is about 1333.6554550608.

The spelling of 2372088768 in words is "two billion, three hundred seventy-two million, eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 113 168 192 224 226 336 339 448 452 672 678 791 904 1344 1356 1582 1808 2373 2712 3164 3616 4746 5424 6328 7232 9492 10848 12656 15619 18984 21696 25312 31238 37968 46857 50624 62476 75936 93714 109333 124952 151872 187428 218666 249904 327999 374856 437332 499808 655998 749712 874664 999616 1311996 1499424 1749328 1764947 2623992 2998848 3498656 3529894 5247984 5294841 6997312 7059788 10495968 10589682 12354629 14119576 20991936 21179364 24709258 28239152 37063887 42358728 49418516 56478304 74127774 84717456 98837032 112956608 148255548 169434912 197674064 296511096 338869824 395348128 593022192 790696256 1186044384 2372088768