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68406624048 = 2437253932
BaseRepresentation
bin111111101101010110…
…100011111100110000
320112120101010112222110
4333231112203330300
52110044043432143
651231531205320
74641115465500
oct775526437460
9215511115873
1068406624048
1127013835144
12113112a6840
1365b22c0949
14344d167a00
151ba57be533
hexfed5a3f30

68406624048 has 90 divisors (see below), whose sum is σ = 205607010324. Its totient is φ = 19541125632.

The previous prime is 68406624047. The next prime is 68406624053. The reversal of 68406624048 is 84042660486.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 68406623988 and 68406624006.

It is not an unprimeable number, because it can be changed into a prime (68406624047) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12681640 + ... + 12687032.

Almost surely, 268406624048 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 68406624048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102803505162).

68406624048 is an abundant number, since it is smaller than the sum of its proper divisors (137200386276).

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

68406624048 is an frugal number, since it uses more digits than its factorization.

68406624048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10811 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

Multiplying 68406624048 by its sum of digits (48), we get a square (3283517954304 = 18120482).

68406624048 divided by its sum of digits (48) gives a square (1425138001 = 377512).

The spelling of 68406624048 in words is "sixty-eight billion, four hundred six million, six hundred twenty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 5393 10786 16179 21572 32358 37751 43144 64716 75502 86288 113253 129432 151004 226506 258864 264257 302008 453012 528514 604016 792771 906024 1057028 1585542 1812048 2114056 3171084 4228112 6342168 12684336 29084449 58168898 87253347 116337796 174506694 203591143 232675592 349013388 407182286 465351184 610773429 698026776 814364572 1221546858 1396053552 1425138001 1628729144 2443093716 2850276002 3257458288 4275414003 4886187432 5700552004 8550828006 9772374864 11401104008 17101656012 22802208016 34203312024 68406624048