Search a number
-
+
122775100890624 = 29367131719331
BaseRepresentation
bin11011111010100111001110…
…010001101001111000000000
3121002201011222212200211000000
4123322213032101221320000
5112043021401311444444
61113042034104000000
734601131311434520
oct3372471621517000
9532634885624000
10122775100890624
113613569a792346
121192a778a60000
13536784729a1a0
1422464bd081680
15e2d9dea31469
hex6fa9ce469e00

122775100890624 has 4480 divisors, whose sum is σ = 522245694136320. Its totient is φ = 27940210606080.

The previous prime is 122775100890581. The next prime is 122775100890677. The reversal of 122775100890624 is 426098001577221.

122775100890624 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 7 + 5 + 1 + 0 + 0 + 8 + 9 + 0 + 624 = 666.

It is a super-2 number, since 2×1227751008906242 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 3960487125489 + ... + 3960487125519.

It is an arithmetic number, because the mean of its divisors is an integer number (116572699584).

Almost surely, 2122775100890624 is an apocalyptic number.

122775100890624 is a gapful number since it is divisible by the number (14) 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 122775100890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261122847068160).

122775100890624 is an abundant number, since it is smaller than the sum of its proper divisors (399470593245696).

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

122775100890624 is an frugal number, since it uses more digits than its factorization.

122775100890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 122775100890624 in words is "one hundred twenty-two trillion, seven hundred seventy-five billion, one hundred million, eight hundred ninety thousand, six hundred twenty-four".