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68822756352 = 2103372371373
BaseRepresentation
bin100000000011000100…
…1111110110000000000
320120122101011021012000
41000012021332300000
52111422111200402
651341114304000
74654330530300
oct1000611766000
9216571137160
1068822756352
1127207719539
1211408728000
13664a59008c
14348c52b600
151bcc0bcc1c
hex100627ec00

68822756352 has 528 divisors, whose sum is σ = 243681757920. Its totient is φ = 19118260224.

The previous prime is 68822756339. The next prime is 68822756357. The reversal of 68822756352 is 25365722886.

It is a happy number.

68822756352 is a `hidden beast` number, since 6 + 8 + 8 + 2 + 27 + 563 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (68822756357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50125138 + ... + 50126510.

Almost surely, 268822756352 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 68822756352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121840878960).

68822756352 is an abundant number, since it is smaller than the sum of its proper divisors (174859001568).

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

68822756352 is a wasteful number, since it uses less digits than its factorization.

68822756352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1422 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 68822756352 in words is "sixty-eight billion, eight hundred twenty-two million, seven hundred fifty-six thousand, three hundred fifty-two".