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126149031648 = 25321927322727
BaseRepresentation
bin111010101111100010…
…0010111011011100000
3110001121112122210011100
41311133010113123200
54031323123003043
6133541351314400
712054043035243
oct1653704273340
9401545583140
10126149031648
1149554926662
122054707ba00
13bb85103333
146169c6b25a
153434c2acd3
hex1d5f1176e0

126149031648 has 72 divisors (see below), whose sum is σ = 358770707568. Its totient is φ = 42045645312.

The previous prime is 126149031601. The next prime is 126149031689. The reversal of 126149031648 is 846130941621.

126149031648 is a `hidden beast` number, since 12 + 61 + 490 + 31 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5539261 + ... + 5561987.

It is an arithmetic number, because the mean of its divisors is an integer number (4982926494).

Almost surely, 2126149031648 is an apocalyptic number.

126149031648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126149031648 is an abundant number, since it is smaller than the sum of its proper divisors (232621675920).

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

126149031648 is a wasteful number, since it uses less digits than its factorization.

126149031648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42016 (or 42005 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 126149031648 in words is "one hundred twenty-six billion, one hundred forty-nine million, thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 19273 22727 38546 45454 57819 68181 77092 90908 115638 136362 154184 173457 181816 204543 231276 272724 308368 346914 363632 409086 462552 545448 616736 693828 727264 818172 925104 1090896 1387656 1636344 1850208 2181792 2775312 3272688 5550624 6545376 438017471 876034942 1314052413 1752069884 2628104826 3504139768 3942157239 5256209652 7008279536 7884314478 10512419304 14016559072 15768628956 21024838608 31537257912 42049677216 63074515824 126149031648