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642572218931456 = 2811331976770583
BaseRepresentation
bin1001001000011010101000000…
…0110110100001100100000000
310010021011022012202112120211102
42102012222000312201210000
51133210400401021301311
610154345334023233532
7252230211414436112
oct22206520066414400
93107138182476742
10642572218931456
1117681a390844410
126009a973ba88a8
13217713b9830448
14b4969389db3b2
154e44ba0d1743b
hex2486a80da1900

642572218931456 has 144 divisors (see below), whose sum is σ = 1403628400677888. Its totient is φ = 291161930188800.

The previous prime is 642572218931431. The next prime is 642572218931473. The reversal of 642572218931456 is 654139812275246.

It is a junction number, because it is equal to n+sod(n) for n = 642572218931392 and 642572218931401.

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, 9103746341 + ... + 9103816923.

It is an arithmetic number, because the mean of its divisors is an integer number (9747419449152).

Almost surely, 2642572218931456 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 642572218931456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701814200338944).

642572218931456 is an abundant number, since it is smaller than the sum of its proper divisors (761056181746432).

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

642572218931456 is a wasteful number, since it uses less digits than its factorization.

642572218931456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80708 (or 80694 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 65.

The spelling of 642572218931456 in words is "six hundred forty-two trillion, five hundred seventy-two billion, two hundred eighteen million, nine hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 331 352 662 704 1324 1408 2648 2816 3641 5296 7282 9767 10592 14564 19534 21184 29128 39068 42368 58256 70583 78136 84736 107437 116512 141166 156272 214874 233024 282332 312544 429748 466048 564664 625088 776413 859496 932096 1129328 1250176 1552826 1718992 2258656 2500352 3105652 3232877 3437984 4517312 6211304 6465754 6875968 9034624 12422608 12931508 13751936 18069248 23362973 24845216 25863016 27503872 35561647 46725946 49690432 51726032 71123294 93451892 99380864 103452064 142246588 186903784 198761728 206904128 256992703 284493176 373807568 413808256 513985406 568986352 689384161 747615136 827616512 1027970812 1137972704 1378768322 1495230272 2055941624 2275945408 2757536644 2990460544 4111883248 4551890816 5515073288 5980921088 7583225771 8223766496 9103781632 11030146576 15166451542 16447532992 22060293152 30332903084 32895065984 44120586304 60665806168 65790131968 88241172608 121331612336 176482345216 228186157291 242663224672 456372314582 485326449344 912744629164 970652898688 1825489258328 1941305797376 2510047730201 3650978516656 5020095460402 7301957033312 10040190920804 14603914066624 20080381841608 29207828133248 40160763683216 58415656266496 80321527366432 160643054732864 321286109465728 642572218931456