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83858893056 = 283420112
BaseRepresentation
bin100111000011001100…
…0010010100100000000
322000110021022011010000
41032012120102210000
52333220334034211
6102305123040000
76026046554451
oct1160630224400
9260407264100
1083858893056
11326231825a4
1214304210000
137ba574c3a3
1440b747b128
1522ac16e656
hex1386612900

83858893056 has 135 divisors (see below), whose sum is σ = 250176449523. Its totient is φ = 27939064320.

The previous prime is 83858893033. The next prime is 83858893057. The reversal of 83858893056 is 65039885838.

The square root of 83858893056 is 289584.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 83858892984 and 83858893002.

It is not an unprimeable number, because it can be changed into a prime (83858893057) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 41699091 + ... + 41701101.

Almost surely, 283858893056 is an apocalyptic number.

83858893056 is the 289584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83858893056

83858893056 is an abundant number, since it is smaller than the sum of its proper divisors (166317556467).

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

83858893056 is an frugal number, since it uses more digits than its factorization.

83858893056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 83858893056 in words is "eighty-three billion, eight hundred fifty-eight million, eight hundred ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2011 2304 2592 3456 4022 5184 6033 6912 8044 10368 12066 16088 18099 20736 24132 32176 36198 48264 54297 64352 72396 96528 108594 128704 144792 162891 193056 217188 257408 289584 325782 386112 434376 514816 579168 651564 772224 868752 1158336 1303128 1544448 1737504 2316672 2606256 3475008 4044121 4633344 5212512 6950016 8088242 10425024 12132363 13900032 16176484 20850048 24264726 32352968 36397089 41700096 48529452 64705936 72794178 97058904 109191267 129411872 145588356 194117808 218382534 258823744 291176712 327573801 388235616 436765068 517647488 582353424 655147602 776471232 873530136 1035294976 1164706848 1310295204 1552942464 1747060272 2329413696 2620590408 3105884928 3494120544 4658827392 5241180816 6988241088 9317654784 10482361632 13976482176 20964723264 27952964352 41929446528 83858893056