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148397243904 = 29327132271559
BaseRepresentation
bin1000101000110100101…
…0100011111000000000
3112012001001121001211200
42022031022203320000
54412404143301104
6152101151541200
713502264521650
oct2121512437000
9465031531750
10148397243904
1157a31414838
1224915b2a800
1310cbc4c0080
14727a980360
153cd8038b39
hex228d2a3e00

148397243904 has 480 divisors, whose sum is σ = 529781091840. Its totient is φ = 38940327936.

The previous prime is 148397243899. The next prime is 148397243963. The reversal of 148397243904 is 409342793841.

148397243904 is a `hidden beast` number, since 1 + 4 + 8 + 397 + 243 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×1483972439042 (a number of 23 digits) contains 22 as substring.

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, 95186677 + ... + 95188235.

It is an arithmetic number, because the mean of its divisors is an integer number (1103710608).

Almost surely, 2148397243904 is an apocalyptic number.

148397243904 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 148397243904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264890545920).

148397243904 is an abundant number, since it is smaller than the sum of its proper divisors (381383847936).

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

148397243904 is a wasteful number, since it uses less digits than its factorization.

148397243904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 148397243904 in words is "one hundred forty-eight billion, three hundred ninety-seven million, two hundred forty-three thousand, nine hundred four".