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4493171376 = 2432192956629
BaseRepresentation
bin1000010111101000…
…00101101010110000
3102121010200202101200
410023310011222300
533200222441001
62021504131200
7216226220001
oct41364055260
912533622350
104493171376
1119a6307181
12a54906b00
13567b555b5
14308a4d1a8
151b46e0086
hex10bd05ab0

4493171376 has 120 divisors (see below), whose sum is σ = 13693134000. Its totient is φ = 1369944576.

The previous prime is 4493171323. The next prime is 4493171387. The reversal of 4493171376 is 6731713944.

4493171376 is a `hidden beast` number, since 449 + 3 + 171 + 37 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51030 + ... + 107658.

It is an arithmetic number, because the mean of its divisors is an integer number (114109450).

Almost surely, 24493171376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4493171376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6846567000).

4493171376 is an abundant number, since it is smaller than the sum of its proper divisors (9199962624).

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

4493171376 is a wasteful number, since it uses less digits than its factorization.

4493171376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56691 (or 56682 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 4493171376 is about 67031.1224432353. The cubic root of 4493171376 is about 1650.1281046544.

The spelling of 4493171376 in words is "four billion, four hundred ninety-three million, one hundred seventy-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 36 38 48 57 58 72 76 87 114 116 144 152 171 174 228 232 261 304 342 348 456 464 522 551 684 696 912 1044 1102 1368 1392 1653 2088 2204 2736 3306 4176 4408 4959 6612 8816 9918 13224 19836 26448 39672 56629 79344 113258 169887 226516 339774 453032 509661 679548 906064 1019322 1075951 1359096 1642241 2038644 2151902 2718192 3227853 3284482 4077288 4303804 4926723 6455706 6568964 8154576 8607608 9683559 9853446 12911412 13137928 14780169 17215216 19367118 19706892 25822824 26275856 29560338 31202579 38734236 39413784 51645648 59120676 62405158 77468472 78827568 93607737 118241352 124810316 154936944 187215474 236482704 249620632 280823211 374430948 499241264 561646422 748861896 1123292844 1497723792 2246585688 4493171376