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37490116608 = 2113271941373
BaseRepresentation
bin100010111010100101…
…011100100000000000
310120202202021020202100
4202322211130200000
51103234432212413
625120035150400
72465016506340
oct427245344000
9116682236670
1037490116608
111499921454a
127323445400
1336c60a2669
141b59106d20
15e964a7a73
hex8ba95c800

37490116608 has 576 divisors, whose sum is σ = 133794460800. Its totient is φ = 9873653760.

The previous prime is 37490116607. The next prime is 37490116619. The reversal of 37490116608 is 80661109473.

It is a happy number.

37490116608 is a `hidden beast` number, since 37 + 4 + 9 + 0 + 1 + 1 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (37490116607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100509510 + ... + 100509882.

It is an arithmetic number, because the mean of its divisors is an integer number (232282050).

Almost surely, 237490116608 is an apocalyptic number.

37490116608 is a gapful number since it is divisible by the number (38) 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 37490116608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66897230400).

37490116608 is an abundant number, since it is smaller than the sum of its proper divisors (96304344192).

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

37490116608 is a wasteful number, since it uses less digits than its factorization.

37490116608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 37490116608 in words is "thirty-seven billion, four hundred ninety million, one hundred sixteen thousand, six hundred eight".