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149753048760 = 233257234754973
BaseRepresentation
bin1000101101110111111…
…0100010111010111000
3112022112112210002110100
42023131332202322320
54423143240030020
6152443503315400
713551006624540
oct2133576427270
9468475702410
10149753048760
1158567768017
1225033babb60
1311177366673
147368a6a320
153d6709da90
hex22ddfa2eb8

149753048760 has 384 divisors, whose sum is σ = 592769249280. Its totient is φ = 32043838464.

The previous prime is 149753048759. The next prime is 149753048761. The reversal of 149753048760 is 67840357941.

149753048760 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 530 + 48 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (149753048759) and next prime (149753048761).

It is a super-2 number, since 2×1497530487602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 149753048697 and 149753048706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149753048761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2696634 + ... + 2751606.

It is an arithmetic number, because the mean of its divisors is an integer number (1543669920).

Almost surely, 2149753048760 is an apocalyptic number.

149753048760 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 149753048760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296384624640).

149753048760 is an abundant number, since it is smaller than the sum of its proper divisors (443016200520).

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

149753048760 is a wasteful number, since it uses less digits than its factorization.

149753048760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55067 (or 55060 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 149753048760 in words is "one hundred forty-nine billion, seven hundred fifty-three million, forty-eight thousand, seven hundred sixty".