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42737976684 = 2232132101157443
BaseRepresentation
bin100111110011011000…
…011100010101101100
311002022111001011102100
4213303120130111230
51200011410223214
631344503055100
73042041544054
oct476330342554
9132274034370
1042737976684
1117141523497
128348a41490
1340513a4900
1420d6088564
1511a206e309
hex9f361c56c

42737976684 has 216 divisors, whose sum is σ = 119160608112. Its totient is φ = 12907814400.

The previous prime is 42737976649. The next prime is 42737976703. The reversal of 42737976684 is 48667973724.

It is a happy number.

42737976684 is a `hidden beast` number, since 427 + 3 + 79 + 7 + 66 + 84 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96473767 + ... + 96474209.

It is an arithmetic number, because the mean of its divisors is an integer number (551669482).

Almost surely, 242737976684 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 42737976684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59580304056).

42737976684 is an abundant number, since it is smaller than the sum of its proper divisors (76422631428).

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

42737976684 is a wasteful number, since it uses less digits than its factorization.

42737976684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 719 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 42737976684 in words is "forty-two billion, seven hundred thirty-seven million, nine hundred seventy-six thousand, six hundred eighty-four".