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78800470944 = 2531326772493
BaseRepresentation
bin100100101100011011…
…1111100001110100000
321112101201222200110220
41021120313330032200
52242340410032234
6100111143323040
75456514644226
oct1113067741640
9245351880426
1078800470944
11304678a2158
1213332150480
13757a776b00
143b5772cb16
1520b3027a49
hex1258dfc3a0

78800470944 has 144 divisors (see below), whose sum is σ = 227333064672. Its totient is φ = 23884084224.

The previous prime is 78800470937. The next prime is 78800470949. The reversal of 78800470944 is 44907400887.

It is a super-2 number, since 2×788004709442 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78800470949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1050762 + ... + 1123254.

It is an arithmetic number, because the mean of its divisors is an integer number (1578701838).

Almost surely, 278800470944 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 78800470944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113666532336).

78800470944 is an abundant number, since it is smaller than the sum of its proper divisors (148532593728).

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

78800470944 is a wasteful number, since it uses less digits than its factorization.

78800470944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72599 (or 72578 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 78800470944 in words is "seventy-eight billion, eight hundred million, four hundred seventy thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 67 78 96 104 134 156 169 201 208 268 312 338 402 416 507 536 624 676 804 871 1014 1072 1248 1352 1608 1742 2028 2144 2613 2704 3216 3484 4056 5226 5408 6432 6968 8112 10452 11323 13936 16224 20904 22646 27872 33969 41808 45292 67938 72493 83616 90584 135876 144986 181168 217479 271752 289972 362336 434958 543504 579944 869916 942409 1087008 1159888 1739832 1884818 2319776 2827227 3479664 3769636 4857031 5654454 6959328 7539272 9714062 11308908 12251317 14571093 15078544 19428124 22617816 24502634 29142186 30157088 36753951 38856248 45235632 49005268 58284372 63141403 73507902 77712496 90471264 98010536 116568744 126282806 147015804 155424992 189424209 196021072 233137488 252565612 294031608 378848418 392042144 466274976 505131224 588063216 757696836 820838239 1010262448 1176126432 1515393672 1641676478 2020524896 2462514717 3030787344 3283352956 4925029434 6061574688 6566705912 9850058868 13133411824 19700117736 26266823648 39400235472 78800470944