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70382101608 = 233371317347607
BaseRepresentation
bin100000110001100011…
…0011010010001101000
320201200001100012202000
41001203012122101220
52123120304222413
652155540411000
75041063664340
oct1014306322150
9221601305660
1070382101608
1127937952725
12117829a6a60
136838660290
14359967bd20
151c6de3b073
hex106319a468

70382101608 has 512 divisors, whose sum is σ = 255932006400. Its totient is φ = 17391366144.

The previous prime is 70382101589. The next prime is 70382101619. The reversal of 70382101608 is 80610128307.

70382101608 is a `hidden beast` number, since 7 + 0 + 38 + 2 + 10 + 1 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 115950441 + ... + 115951047.

It is an arithmetic number, because the mean of its divisors is an integer number (499867200).

Almost surely, 270382101608 is an apocalyptic number.

70382101608 is a gapful number since it is divisible by the number (78) 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 70382101608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127966003200).

70382101608 is an abundant number, since it is smaller than the sum of its proper divisors (185549904792).

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

70382101608 is a wasteful number, since it uses less digits than its factorization.

70382101608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 70382101608 in words is "seventy billion, three hundred eighty-two million, one hundred one thousand, six hundred eight".