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4939435776 = 283111930773
BaseRepresentation
bin1001001100110100…
…11100111100000000
3110202020102100001210
410212122130330000
540103443421101
62134045130120
7233255340252
oct44632347400
913666370053
104939435776
112105201230
12b5a259940
13609444b82
1434c017cd2
151dd9917d6
hex12669cf00

4939435776 has 144 divisors (see below), whose sum is σ = 15096493440. Its totient is φ = 1417973760.

The previous prime is 4939435769. The next prime is 4939435793. The reversal of 4939435776 is 6775349394.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 145126 + ... + 175898.

It is an arithmetic number, because the mean of its divisors is an integer number (104836760).

Almost surely, 24939435776 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 4939435776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548246720).

4939435776 is an abundant number, since it is smaller than the sum of its proper divisors (10157057664).

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

4939435776 is a wasteful number, since it uses less digits than its factorization.

4939435776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30822 (or 30808 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 57.

The square root of 4939435776 is about 70281.1196268244. The cubic root of 4939435776 is about 1703.0436565391.

The spelling of 4939435776 in words is "four billion, nine hundred thirty-nine million, four hundred thirty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 256 264 304 352 384 418 456 528 608 627 704 768 836 912 1056 1216 1254 1408 1672 1824 2112 2432 2508 2816 3344 3648 4224 4864 5016 6688 7296 8448 10032 13376 14592 20064 26752 30773 40128 53504 61546 80256 92319 123092 160512 184638 246184 338503 369276 492368 584687 677006 738552 984736 1015509 1169374 1354012 1477104 1754061 1969472 2031018 2338748 2708024 2954208 3508122 3938944 4062036 4677496 5416048 5908416 6431557 7016244 7877888 8124072 9354992 10832096 11816832 12863114 14032488 16248144 18709984 19294671 21664192 23633664 25726228 28064976 32496288 37419968 38589342 43328384 51452456 56129952 64992576 74839936 77178684 86656768 102904912 112259904 129985152 149679872 154357368 205809824 224519808 259970304 308714736 411619648 449039616 617429472 823239296 1234858944 1646478592 2469717888 4939435776