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147207862272 = 21131747157191
BaseRepresentation
bin1000100100011001000…
…1011011100000000000
3112001222011120012222010
42021012101123200000
54402440203043042
6151343143212520
713430643120012
oct2110621334000
9461864505863
10147207862272
1157481000809
1224643747140
1310b5cc75a63
1471a6a161b2
153c688e959c
hex224645b800

147207862272 has 384 divisors, whose sum is σ = 429324779520. Its totient is φ = 44677201920.

The previous prime is 147207862259. The next prime is 147207862273. The reversal of 147207862272 is 272268702741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147207862273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 770721697 + ... + 770721887.

It is an arithmetic number, because the mean of its divisors is an integer number (1118033280).

Almost surely, 2147207862272 is an apocalyptic number.

147207862272 is a gapful number since it is divisible by the number (12) 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 147207862272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214662389760).

147207862272 is an abundant number, since it is smaller than the sum of its proper divisors (282116917248).

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

147207862272 is a wasteful number, since it uses less digits than its factorization.

147207862272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 48.

The spelling of 147207862272 in words is "one hundred forty-seven billion, two hundred seven million, eight hundred sixty-two thousand, two hundred seventy-two".