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148141688376 = 233112931915163
BaseRepresentation
bin1000100111110111101…
…1101100011000111000
3112011101020201111120010
42021331323230120320
54411343233012001
6152015542301520
713463042401053
oct2117573543070
9464336644503
10148141688376
1157910137120
12248644278a0
1310c7b583a96
147254a59a9a
153cc08a88d6
hex227deec638

148141688376 has 64 divisors (see below), whose sum is σ = 405401915520. Its totient is φ = 44738184320.

The previous prime is 148141688341. The next prime is 148141688389. The reversal of 148141688376 is 673886141841.

It is a super-3 number, since 3×1481416883763 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880230 + ... + 1034933.

It is an arithmetic number, because the mean of its divisors is an integer number (6334404930).

Almost surely, 2148141688376 is an apocalyptic number.

It is an amenable number.

148141688376 is an abundant number, since it is smaller than the sum of its proper divisors (257260227144).

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

148141688376 is a wasteful number, since it uses less digits than its factorization.

148141688376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915476 (or 1915472 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 57.

The spelling of 148141688376 in words is "one hundred forty-eight billion, one hundred forty-one million, six hundred eighty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 293 586 879 1172 1758 2344 3223 3516 6446 7032 9669 12892 19338 25784 38676 77352 1915163 3830326 5745489 7660652 11490978 15321304 21066793 22981956 42133586 45963912 63200379 84267172 126400758 168534344 252801516 505603032 561142759 1122285518 1683428277 2244571036 3366856554 4489142072 6172570349 6733713108 12345140698 13467426216 18517711047 24690281396 37035422094 49380562792 74070844188 148141688376