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148398128010 = 232511319113577
BaseRepresentation
bin1000101000110100110…
…1111011101110001010
3112012001010020222121100
42022031031323232022
54412404410044020
6152101222522230
713502305163346
oct2121515735612
9465033228540
10148398128010
1157a31969000
1224916296376
1310cbc73c602
14727ab30626
153cd8160a90
hex228d37bb8a

148398128010 has 384 divisors, whose sum is σ = 451460355840. Its totient is φ = 33721712640.

The previous prime is 148398127993. The next prime is 148398128023. The reversal of 148398128010 is 10821893841.

148398128010 is a `hidden beast` number, since 1 + 483 + 9 + 81 + 2 + 80 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 257188842 + ... + 257189418.

It is an arithmetic number, because the mean of its divisors is an integer number (1175678010).

Almost surely, 2148398128010 is an apocalyptic number.

148398128010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 148398128010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225730177920).

148398128010 is an abundant number, since it is smaller than the sum of its proper divisors (303062227830).

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

148398128010 is a wasteful number, since it uses less digits than its factorization.

148398128010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 148398128010 in words is "one hundred forty-eight billion, three hundred ninety-eight million, one hundred twenty-eight thousand, ten".