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641374216631520 = 25352339215712169
BaseRepresentation
bin1001000111010100111001001…
…0010110011011010011100000
310010002220202221220212011011020
42101311032102112123103200
51133031233343424202040
610152031125244245440
7252044520664055361
oct22165162226332340
93102822856764136
10641374216631520
111763a8306773a09
125bb26753540880
13216b5438095ca8
14b45496b92db68
154e239366d7cd0
hex247539259b4e0

641374216631520 has 96 divisors (see below), whose sum is σ = 2020337772878880. Its totient is φ = 171032363335680.

The previous prime is 641374216631483. The next prime is 641374216631579. The reversal of 641374216631520 is 25136612473146.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6413742166315202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109425996 + ... + 115138164.

It is an arithmetic number, because the mean of its divisors is an integer number (21045185134155).

Almost surely, 2641374216631520 is an apocalyptic number.

641374216631520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

641374216631520 is an abundant number, since it is smaller than the sum of its proper divisors (1378963556247360).

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

641374216631520 is a wasteful number, since it uses less digits than its factorization.

641374216631520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946108 (or 5946100 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 641374216631520 in words is "six hundred forty-one trillion, three hundred seventy-four billion, two hundred sixteen million, six hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 233921 467842 701763 935684 1169605 1403526 1871368 2339210 2807052 3508815 3742736 4678420 5614104 5712169 7017630 7485472 9356840 11228208 11424338 14035260 17136507 18713680 22456416 22848676 28070520 28560845 34273014 37427360 45697352 56141040 57121690 68546028 85682535 91394704 112282080 114243380 137092056 171365070 182789408 228486760 274184112 342730140 456973520 548368224 685460280 913947040 1370920560 2741841120 1336196284649 2672392569298 4008588853947 5344785138596 6680981423245 8017177707894 10689570277192 13361962846490 16034355415788 20042944269735 21379140554384 26723925692980 32068710831576 40085888539470 42758281108768 53447851385960 64137421663152 80171777078940 106895702771920 128274843326304 160343554157880 213791405543840 320687108315760 641374216631520