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9274990936680 = 23335721914961909
BaseRepresentation
bin1000011011111000000010…
…0010100100001001101000
31012211200101001202210202000
42012332000202210021220
52203430140134433210
631420512204411000
71645044631110600
oct206760042441150
935750331683660
109274990936680
112a56557648a57
12105967b846a60
13523821630981
14240caa5a1c00
151113e54c7ac0
hex86f808a4268

9274990936680 has 768 divisors, whose sum is σ = 38111796000000. Its totient is φ = 1994907543552.

The previous prime is 9274990936657. The next prime is 9274990936693. The reversal of 9274990936680 is 866390994729.

9274990936680 is a `hidden beast` number, since 9 + 27 + 499 + 0 + 9 + 36 + 6 + 80 = 666.

It is a super-2 number, since 2×92749909366802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9274990936599 and 9274990936608.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149785566 + ... + 149847474.

It is an arithmetic number, because the mean of its divisors is an integer number (49624734375).

Almost surely, 29274990936680 is an apocalyptic number.

9274990936680 is a gapful number since it is divisible by the number (90) 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 9274990936680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19055898000000).

9274990936680 is an abundant number, since it is smaller than the sum of its proper divisors (28836805063320).

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

9274990936680 is a wasteful number, since it uses less digits than its factorization.

9274990936680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62111 (or 62094 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 9274990936680 in words is "nine trillion, two hundred seventy-four billion, nine hundred ninety million, nine hundred thirty-six thousand, six hundred eighty".