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2590197679392 = 253172886710529
BaseRepresentation
bin100101101100010011110…
…100000000010100100000
3100011121202022220102110220
4211230103310000110200
5314414211101220032
65301530445323040
7355064341001631
oct45542364002440
910147668812426
102590197679392
11909551077874
12359bb7b66480
1315a34045836b
148d51ad4b888
154759c4d912c
hex25b13d00520

2590197679392 has 144 divisors (see below), whose sum is σ = 7224253414560. Its totient is φ = 812442222592.

The previous prime is 2590197679373. The next prime is 2590197679393. The reversal of 2590197679392 is 2939767910952.

It is not an unprimeable number, because it can be changed into a prime (2590197679393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246000784 + ... + 246011312.

It is an arithmetic number, because the mean of its divisors is an integer number (50168426490).

Almost surely, 22590197679392 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 2590197679392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612126707280).

2590197679392 is an abundant number, since it is smaller than the sum of its proper divisors (4634055735168).

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

2590197679392 is a wasteful number, since it uses less digits than its factorization.

2590197679392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19443 (or 19418 counting only the distinct ones).

The product of its (nonzero) digits is 115736040, while the sum is 69.

The spelling of 2590197679392 in words is "two trillion, five hundred ninety billion, one hundred ninety-seven million, six hundred seventy-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 867 1156 1632 1734 2312 3468 4624 6936 8867 9248 10529 13872 17734 21058 26601 27744 31587 35468 42116 53202 63174 70936 84232 106404 126348 141872 150739 168464 178993 212808 252696 283744 301478 336928 357986 425616 452217 505392 536979 602956 715972 851232 904434 1010784 1073958 1205912 1431944 1808868 2147916 2411824 2562563 2863888 3042881 3617736 4295832 4823648 5125126 5727776 6085762 7235472 7687689 8591664 9128643 10250252 12171524 14470944 15375378 17183328 18257286 20500504 24343048 30750756 36514572 41001008 48686096 61501512 73029144 82002016 93360643 97372192 123003024 146058288 186721286 246006048 280081929 292116576 373442572 560163858 746885144 1120327716 1493770288 1587130931 2240655432 2987540576 3174261862 4481310864 4761392793 6348523724 8962621728 9522785586 12697047448 19045571172 25394094896 26981225827 38091142344 50788189792 53962451654 76182284688 80943677481 107924903308 152364569376 161887354962 215849806616 323774709924 431699613232 647549419848 863399226464 1295098839696 2590197679392