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68225924432 = 24193125128843
BaseRepresentation
bin111111100010100101…
…001111110101010000
320112002210010001201002
4333202211033311100
52104211314040212
651201554201132
74633462534451
oct774245176520
9215083101632
1068225924432
1126a30834916
12112808831a8
136583a334b3
14343316b128
151b949c8ac2
hexfe294fd50

68225924432 has 80 divisors (see below), whose sum is σ = 144210769920. Its totient is φ = 31149360000.

The previous prime is 68225924419. The next prime is 68225924467. The reversal of 68225924432 is 23442952286.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2351003 + ... + 2379845.

It is an arithmetic number, because the mean of its divisors is an integer number (1802634624).

Almost surely, 268225924432 is an apocalyptic number.

68225924432 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68225924432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72105384960).

68225924432 is an abundant number, since it is smaller than the sum of its proper divisors (75984845488).

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

68225924432 is a wasteful number, since it uses less digits than its factorization.

68225924432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29152 (or 29146 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 47.

The spelling of 68225924432 in words is "sixty-eight billion, two hundred twenty-five million, nine hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 251 304 496 502 589 1004 1178 2008 2356 4016 4712 4769 7781 9424 9538 15562 19076 28843 31124 38152 57686 62248 76304 115372 124496 147839 230744 295678 461488 548017 591356 894133 1096034 1182712 1788266 2192068 2365424 3576532 4384136 7153064 7239593 8768272 14306128 14479186 16988527 28958372 33977054 57916744 67954108 115833488 135908216 137552267 224427383 271816432 275104534 448854766 550209068 897709532 1100418136 1795419064 2200836272 3590838128 4264120277 8528240554 17056481108 34112962216 68225924432