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68952377835432 = 233271337523543841
BaseRepresentation
bin11111010110110001110011…
…11111001011111110101000
3100001010210010202200201200200
433223120321333023332220
533014203432211213212
6402352141324432200
720344434126122040
oct1753307177137650
9301123122621620
1068952377835432
111aa745a2781133
1278975239a8660
132c622484c6680
14130545481c720
157e89225336dc
hex3eb639fcbfa8

68952377835432 has 384 divisors, whose sum is σ = 236504964783360. Its totient is φ = 17659885731840.

The previous prime is 68952377835403. The next prime is 68952377835449. The reversal of 68952377835432 is 23453877325986.

68952377835432 is a `hidden beast` number, since 6 + 8 + 9 + 5 + 2 + 3 + 7 + 78 + 3 + 543 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126515832 + ... + 127059672.

It is an arithmetic number, because the mean of its divisors is an integer number (615898345790).

Almost surely, 268952377835432 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 68952377835432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118252482391680).

68952377835432 is an abundant number, since it is smaller than the sum of its proper divisors (167552586947928).

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

68952377835432 is a wasteful number, since it uses less digits than its factorization.

68952377835432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544433 (or 544426 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 72.

The spelling of 68952377835432 in words is "sixty-eight trillion, nine hundred fifty-two billion, three hundred seventy-seven million, eight hundred thirty-five thousand, four hundred thirty-two".