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149642410560 = 26351131379447
BaseRepresentation
bin1000101101011101100…
…0011111101001000000
3112022020211121002101020
42023113120133221000
54422431424114220
6152424512105440
713545164334306
oct2132730375100
9468224532336
10149642410560
115851026a995
1225002b35280
131115a469986
1473580aa276
153d5c4e7040
hex22d761fa40

149642410560 has 112 divisors (see below), whose sum is σ = 479319555456. Its totient is φ = 39551475712.

The previous prime is 149642410499. The next prime is 149642410579. The reversal of 149642410560 is 65014246941.

149642410560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 581244 + ... + 798203.

It is an arithmetic number, because the mean of its divisors is an integer number (4279638888).

Almost surely, 2149642410560 is an apocalyptic number.

149642410560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149642410560 is an abundant number, since it is smaller than the sum of its proper divisors (329677144896).

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

149642410560 is a wasteful number, since it uses less digits than its factorization.

149642410560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379580 (or 1379570 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 149642410560 in words is "one hundred forty-nine billion, six hundred forty-two million, four hundred ten thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 160 192 226 240 320 339 452 480 565 678 904 960 1130 1356 1695 1808 2260 2712 3390 3616 4520 5424 6780 7232 9040 10848 13560 18080 21696 27120 36160 54240 108480 1379447 2758894 4138341 5517788 6897235 8276682 11035576 13794470 16553364 20691705 22071152 27588940 33106728 41383410 44142304 55177880 66213456 82766820 88284608 110355760 132426912 155877511 165533640 220711520 264853824 311755022 331067280 441423040 467632533 623510044 662134560 779387555 935265066 1247020088 1324269120 1558775110 1870530132 2338162665 2494040176 3117550220 3741060264 4676325330 4988080352 6235100440 7482120528 9352650660 9976160704 12470200880 14964241056 18705301320 24940401760 29928482112 37410602640 49880803520 74821205280 149642410560