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147312101376 = 21132111779541
BaseRepresentation
bin1000100100110001111…
…1000100100000000000
3112002020102201010010200
42021030133010200000
54403143344221001
6151401345325200
713433350126056
oct2111437044000
9462212633120
10147312101376
1157524928130
1224672636800
1310b78741bbb
1471b67cc1d6
153c72b3a086
hex224c7c4800

147312101376 has 576 divisors, whose sum is σ = 498586233600. Its totient is φ = 41405644800.

The previous prime is 147312101347. The next prime is 147312101399. The reversal of 147312101376 is 673101213741.

It is a happy number.

147312101376 is a `hidden beast` number, since 1 + 4 + 73 + 1 + 210 + 1 + 376 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 147312101376.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272295666 + ... + 272296206.

It is an arithmetic number, because the mean of its divisors is an integer number (865601100).

Almost surely, 2147312101376 is an apocalyptic number.

147312101376 is a gapful number since it is divisible by the number (16) 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 147312101376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249293116800).

147312101376 is an abundant number, since it is smaller than the sum of its proper divisors (351274132224).

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

147312101376 is a wasteful number, since it uses less digits than its factorization.

147312101376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 147312101376 in words is "one hundred forty-seven billion, three hundred twelve million, one hundred one thousand, three hundred seventy-six".