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148005913536 = 263213171162691
BaseRepresentation
bin1000100111010111010…
…1110000001111000000
3112011000210020102111100
42021311311300033000
54411104003213121
6151554252214400
713456503336045
oct2116565601700
9464023212440
10148005913536
1157850530508
1224826a6a400
1310c593c5940
1472409d51cc
153cb39d9026
hex2275d703c0

148005913536 has 168 divisors, whose sum is σ = 483740331984. Its totient is φ = 42861404160.

The previous prime is 148005913513. The next prime is 148005913543. The reversal of 148005913536 is 635319500841.

148005913536 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 0 + 591 + 3 + 53 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 148005913491 and 148005913500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454050 + ... + 708641.

It is an arithmetic number, because the mean of its divisors is an integer number (2879406738).

Almost surely, 2148005913536 is an apocalyptic number.

148005913536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

148005913536 is an abundant number, since it is smaller than the sum of its proper divisors (335734418448).

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

148005913536 is a wasteful number, since it uses less digits than its factorization.

148005913536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162739 (or 1162726 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 148005913536 in words is "one hundred forty-eight billion, five million, nine hundred thirteen thousand, five hundred thirty-six".