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149697688680 = 233351923419757
BaseRepresentation
bin1000101101101010101…
…1010111010001101000
3112022101200121111201000
42023122223113101220
54423040102014210
6152434204555000
713546435234101
oct2133253272150
9468350544630
10149697688680
1158539496191
1225019552a60
1311168a52617
1473615793a8
153d622b5ac0
hex22daad7468

149697688680 has 512 divisors, whose sum is σ = 550126080000. Its totient is φ = 36040080384.

The previous prime is 149697688667. The next prime is 149697688697. The reversal of 149697688680 is 86886796941.

149697688680 is a `hidden beast` number, since 1 + 496 + 9 + 76 + 8 + 8 + 68 + 0 = 666.

149697688680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1496976886802 (a number of 23 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 = 149697688599 and 149697688608.

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 127 ways as a sum of consecutive naturals, for example, 197750862 + ... + 197751618.

It is an arithmetic number, because the mean of its divisors is an integer number (1074465000).

Almost surely, 2149697688680 is an apocalyptic number.

149697688680 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 149697688680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275063040000).

149697688680 is an abundant number, since it is smaller than the sum of its proper divisors (400428391320).

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

149697688680 is a wasteful number, since it uses less digits than its factorization.

149697688680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 149697688680 in words is "one hundred forty-nine billion, six hundred ninety-seven million, six hundred eighty-eight thousand, six hundred eighty".