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197135107260 = 22357131723107863
BaseRepresentation
bin1011011110011000101…
…0110000010010111100
3200211211200111001110220
42313212022300102330
511212213041413020
6230321305301340
720146122523020
oct2674612602274
9624750431426
10197135107260
11766716a0953
1232258194850
1315788920c80
149781808380
1551dbbbc240
hex2de62b04bc

197135107260 has 768 divisors, whose sum is σ = 758487711744. Its totient is φ = 37051711488.

The previous prime is 197135107231. The next prime is 197135107291. The reversal of 197135107260 is 62701531791.

197135107260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 228429589 + ... + 228430451.

It is an arithmetic number, because the mean of its divisors is an integer number (987614208).

Almost surely, 2197135107260 is an apocalyptic number.

197135107260 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 197135107260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379243855872).

197135107260 is an abundant number, since it is smaller than the sum of its proper divisors (561352604484).

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

197135107260 is a wasteful number, since it uses less digits than its factorization.

197135107260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 197135107260 in words is "one hundred ninety-seven billion, one hundred thirty-five million, one hundred seven thousand, two hundred sixty".