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68400734436 = 22324146341961
BaseRepresentation
bin111111101101000000…
…000110000011100100
320112112222001022221200
4333231000012003210
52110041042000221
651231201042500
74641014435556
oct775500060344
9215488038850
1068400734436
11270104821a1
121130b326430
1365b100ac78
14344c4734d6
151ba5009426
hexfed0060e4

68400734436 has 36 divisors (see below), whose sum is σ = 177118978764. Its totient is φ = 22244140800.

The previous prime is 68400734419. The next prime is 68400734447. The reversal of 68400734436 is 63443700486.

It can be written as a sum of positive squares in 2 ways, for example, as 35732340900 + 32668393536 = 189030^2 + 180744^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 68400734391 and 68400734400.

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, 23169505 + ... + 23172456.

Almost surely, 268400734436 is an apocalyptic number.

It is an amenable number.

68400734436 is an abundant number, since it is smaller than the sum of its proper divisors (108718244328).

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

68400734436 is a wasteful number, since it uses less digits than its factorization.

68400734436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46342012 (or 46342007 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 68400734436 in words is "sixty-eight billion, four hundred million, seven hundred thirty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 46341961 92683922 139025883 185367844 278051766 417077649 556103532 834155298 1668310596 1900020401 3800040802 5700061203 7600081604 11400122406 17100183609 22800244812 34200367218 68400734436