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148193179008 = 27372172320143
BaseRepresentation
bin1000101000000100000…
…0000111010110000000
3112011111211121111102120
42022001000013112000
54411444423212013
6152025022044240
713464236144400
oct2120100072600
9464454544376
10148193179008
1157937205866
1224879719680
1310c89141804
14725b820800
153cc517a123
hex2281007580

148193179008 has 384 divisors, whose sum is σ = 505946373120. Its totient is φ = 38115753984.

The previous prime is 148193178979. The next prime is 148193179051. The reversal of 148193179008 is 800971391841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1481931790082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7346985 + ... + 7367127.

It is an arithmetic number, because the mean of its divisors is an integer number (1317568680).

Almost surely, 2148193179008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148193179008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252973186560).

148193179008 is an abundant number, since it is smaller than the sum of its proper divisors (357753194112).

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

148193179008 is a wasteful number, since it uses less digits than its factorization.

148193179008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20214 (or 20195 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 51.

The spelling of 148193179008 in words is "one hundred forty-eight billion, one hundred ninety-three million, one hundred seventy-nine thousand, eight".