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641332315515232 = 251137131093756377
BaseRepresentation
bin1001000111010010011101000…
…0110110010110100101100000
310010002202202210202111220101101
42101310213100312112211200
51133030042040232441412
610151555555354044144
7252041505433335445
oct22164472066264540
93102682722456341
10641332315515232
11176391564678090
125bb1a5baa19654
13216b14bb1aba63
14b452914a879cc
154e227d2d72457
hex24749d0d96960

641332315515232 has 96 divisors (see below), whose sum is σ = 1414742408382240. Its totient is φ = 283614201262080.

The previous prime is 641332315515209. The next prime is 641332315515233. The reversal of 641332315515232 is 232515513233146.

It is a super-2 number, since 2×6413323155152322 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641332315515233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168853428 + ... + 172609804.

It is an arithmetic number, because the mean of its divisors is an integer number (14736900087315).

Almost surely, 2641332315515232 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 641332315515232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707371204191120).

641332315515232 is an abundant number, since it is smaller than the sum of its proper divisors (773410092867008).

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

641332315515232 is a wasteful number, since it uses less digits than its factorization.

641332315515232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769544 (or 3769536 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 46.

Adding to 641332315515232 its reverse (232515513233146), we get a palindrome (873847828748378).

The spelling of 641332315515232 in words is "six hundred forty-one trillion, three hundred thirty-two billion, three hundred fifteen million, five hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 592 814 1184 1628 3256 6512 13024 13109 26218 52436 104872 144199 209744 288398 419488 485033 576796 970066 1153592 1940132 2307184 3756377 3880264 4614368 5335363 7512754 7760528 10670726 15025508 15521056 21341452 30051016 41320147 42682904 60102032 82640294 85365808 120204064 138985949 165280588 170731616 277971898 330561176 555943796 661122352 1111887592 1322244704 1528845439 2223775184 3057690878 4447550368 6115381756 12230763512 24461527024 48923054048 49242346093 98484692186 196969384372 393938768744 541665807023 787877537488 1083331614046 1575755074976 1821966805441 2166663228092 3643933610882 4333326456184 7287867221764 8666652912368 14575734443528 17333305824736 20041634859851 29151468887056 40083269719702 58302937774112 80166539439404 160333078878808 320666157757616 641332315515232