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4965016464 = 24321719106747
BaseRepresentation
bin1001001111111000…
…00010001110010000
3110211000112222011200
410213330002032100
540132021011324
62140401311200
7234015641442
oct44774021620
913730488150
104965016464
1121186933a1
12b66935500
13611830485
14351596492
151e0d45ec9
hex127f02390

4965016464 has 120 divisors (see below), whose sum is σ = 15486999840. Its totient is φ = 1475656704.

The previous prime is 4965016453. The next prime is 4965016471. The reversal of 4965016464 is 4646105694.

It is a happy number.

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, 6862 + ... + 99885.

It is an arithmetic number, because the mean of its divisors is an integer number (129058332).

Almost surely, 24965016464 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 4965016464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7743499920).

4965016464 is an abundant number, since it is smaller than the sum of its proper divisors (10521983376).

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

4965016464 is a wasteful number, since it uses less digits than its factorization.

4965016464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106797 (or 106788 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4965016464 is about 70462.8729473898. The cubic root of 4965016464 is about 1705.9785422349.

The spelling of 4965016464 in words is "four billion, nine hundred sixty-five million, sixteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 34 36 38 48 51 57 68 72 76 102 114 136 144 152 153 171 204 228 272 304 306 323 342 408 456 612 646 684 816 912 969 1224 1292 1368 1938 2448 2584 2736 2907 3876 5168 5814 7752 11628 15504 23256 46512 106747 213494 320241 426988 640482 853976 960723 1280964 1707952 1814699 1921446 2028193 2561928 3629398 3842892 4056386 5123856 5444097 6084579 7258796 7685784 8112772 10888194 12169158 14517592 15371568 16225544 16332291 18253737 21776388 24338316 29035184 32451088 32664582 34479281 36507474 43552776 48676632 65329164 68958562 73014948 87105552 97353264 103437843 130658328 137917124 146029896 206875686 261316656 275834248 292059792 310313529 413751372 551668496 620627058 827502744 1241254116 1655005488 2482508232 4965016464