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197513070720 = 2735747312679
BaseRepresentation
bin1011011111110010110…
…0100100100010000000
3200212211000200120212120
42313330230210202000
511214001321230340
6230423010324240
720161362254220
oct2677454444200
9625730616776
10197513070720
1176845a85449
1232342889680
13158190181a4
1497b9ab4080
15520ee7b4d0
hex2dfcb24880

197513070720 has 256 divisors, whose sum is σ = 734823014400. Its totient is φ = 44185153536.

The previous prime is 197513070709. The next prime is 197513070757. The reversal of 197513070720 is 27070315791.

It is a super-2 number, since 2×1975130707202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475341 + ... + 788019.

It is an arithmetic number, because the mean of its divisors is an integer number (2870402400).

Almost surely, 2197513070720 is an apocalyptic number.

197513070720 is a gapful number since it is divisible by the number (10) 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 197513070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367411507200).

197513070720 is an abundant number, since it is smaller than the sum of its proper divisors (537309943680).

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

197513070720 is a wasteful number, since it uses less digits than its factorization.

197513070720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312755 (or 312743 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 42.

The spelling of 197513070720 in words is "one hundred ninety-seven billion, five hundred thirteen million, seventy thousand, seven hundred twenty".