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3799130496 = 27374332869
BaseRepresentation
bin1110001001110010…
…0010000110000000
3100210202201211021220
43202130202012000
530240034133441
61424552315040
7163101035130
oct34234420600
910722654256
103799130496
11167a567a77
128a03a2a80
13487121715
142807c6ac0
151737e8466
hexe2722180

3799130496 has 128 divisors (see below), whose sum is σ = 11801644800. Its totient is φ = 1060190208.

The previous prime is 3799130477. The next prime is 3799130497. The reversal of 3799130496 is 6940319973.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3799130497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99150 + ... + 132018.

It is an arithmetic number, because the mean of its divisors is an integer number (92200350).

Almost surely, 23799130496 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 3799130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5900822400).

3799130496 is an abundant number, since it is smaller than the sum of its proper divisors (8002514304).

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

3799130496 is a wasteful number, since it uses less digits than its factorization.

3799130496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32936 (or 32924 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 51.

The square root of 3799130496 is about 61637.0870174767. The cubic root of 3799130496 is about 1560.3717194401.

The spelling of 3799130496 in words is "three billion, seven hundred ninety-nine million, one hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 128 129 168 172 192 224 258 301 336 344 384 448 516 602 672 688 896 903 1032 1204 1344 1376 1806 2064 2408 2688 2752 3612 4128 4816 5504 7224 8256 9632 14448 16512 19264 28896 32869 38528 57792 65738 98607 115584 131476 197214 230083 262952 394428 460166 525904 690249 788856 920332 1051808 1380498 1413367 1577712 1840664 2103616 2760996 2826734 3155424 3681328 4207232 4240101 5521992 5653468 6310848 7362656 8480202 9893569 11043984 11306936 12621696 14725312 16960404 19787138 22087968 22613872 29450624 29680707 33920808 39574276 44175936 45227744 59361414 67841616 79148552 88351872 90455488 118722828 135683232 158297104 180910976 237445656 271366464 316594208 474891312 542732928 633188416 949782624 1266376832 1899565248 3799130496