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625136200321056 = 2536723733889063
BaseRepresentation
bin1000111000100011101101110…
…1001010000000100000100000
310000222102102210122101222220120
42032020323131022000200200
51123414212414240233211
610053315334504440240
7245450412544552314
oct21610733512004040
93028372718358816
10625136200321056
111712078568a5646
125a143700779080
1320aa8124492668
14b052a799b3b44
154c41361ae0d06
hex2388edd280820

625136200321056 has 144 divisors (see below), whose sum is σ = 1670306848144704. Its totient is φ = 204718232480256.

The previous prime is 625136200321037. The next prime is 625136200321067. The reversal of 625136200321056 is 650123002631526.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 625136200320999 and 625136200321017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158797581 + ... + 162686643.

It is an arithmetic number, because the mean of its divisors is an integer number (11599353112116).

Almost surely, 2625136200321056 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 625136200321056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835153424072352).

625136200321056 is an abundant number, since it is smaller than the sum of its proper divisors (1045170647823648).

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

625136200321056 is a wasteful number, since it uses less digits than its factorization.

625136200321056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889583 (or 3889508 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 625136200321056 in words is "six hundred twenty-five trillion, one hundred thirty-six billion, two hundred million, three hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 373 402 536 746 804 1072 1119 1492 1608 2144 2238 2984 3216 4476 4489 5968 6432 8952 8978 11936 13467 17904 17956 24991 26934 35808 35912 49982 53868 71824 74973 99964 107736 143648 149946 199928 215472 299892 399856 430944 599784 799712 1199568 1674397 2399136 3348794 3889063 5023191 6697588 7778126 10046382 11667189 13395176 15556252 20092764 23334378 26790352 31112504 40185528 46668756 53580704 62225008 80371056 93337512 124450016 160742112 186675024 260567221 373350048 521134442 781701663 1042268884 1450620499 1563403326 2084537768 2901240998 3126806652 4169075536 4351861497 5802481996 6253613304 8338151072 8703722994 11604963992 12507226608 17407445988 17458003807 23209927984 25014453216 34814891976 34916007614 46419855968 52374011421 69629783952 69832015228 97191573433 104748022842 139259567904 139664030456 194383146866 209496045684 279328060912 291574720299 388766293732 418992091368 558656121824 583149440598 777532587464 837984182736 1166298881196 1555065174928 1675968365472 2332597762392 3110130349856 4665195524784 6511835420011 9330391049568 13023670840022 19535506260033 26047341680044 39071012520066 52094683360088 78142025040132 104189366720176 156284050080264 208378733440352 312568100160528 625136200321056