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78270230752 = 2572197253387
BaseRepresentation
bin100100011100101000…
…1001111000011100000
321111000210020200200021
41020321101033003200
52240244134341002
655542402403224
75440415661400
oct1107121170340
9244023220607
1078270230752
113021556091a
1213204660514
1374c496460c
143b07144800
1520816d9737
hex123944f0e0

78270230752 has 72 divisors (see below), whose sum is σ = 180163428984. Its totient is φ = 33373976832.

The previous prime is 78270230737. The next prime is 78270230777. The reversal of 78270230752 is 25703207287.

It is a super-2 number, since 2×782702307522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78270230699 and 78270230708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182203 + ... + 435589.

It is an arithmetic number, because the mean of its divisors is an integer number (2502269847).

Almost surely, 278270230752 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 78270230752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90081714492).

78270230752 is an abundant number, since it is smaller than the sum of its proper divisors (101893198232).

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

78270230752 is a wasteful number, since it uses less digits than its factorization.

78270230752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253608 (or 253593 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 43.

The spelling of 78270230752 in words is "seventy-eight billion, two hundred seventy million, two hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 197 224 392 394 784 788 1379 1568 1576 2758 3152 5516 6304 9653 11032 19306 22064 38612 44128 77224 154448 253387 308896 506774 1013548 1773709 2027096 3547418 4054192 7094836 8108384 12415963 14189672 24831926 28379344 49663852 49917239 56758688 99327704 99834478 198655408 199668956 349420673 397310816 399337912 698841346 798675824 1397682692 1597351648 2445944711 2795365384 4891889422 5590730768 9783778844 11181461536 19567557688 39135115376 78270230752