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150471726912 = 26321321545773
BaseRepresentation
bin1000110000100011010…
…0000101011101000000
3112101101122002201112200
42030020310011131000
54431131230230122
6153043055153200
713604554401243
oct2141064053500
9471348081480
10150471726912
11588a6404601
12251b4815800
1311260215600
1473d62a725a
153daa2105ac
hex2308d05740

150471726912 has 126 divisors (see below), whose sum is σ = 467029335942. Its totient is φ = 46298962944.

The previous prime is 150471726883. The next prime is 150471726913. The reversal of 150471726912 is 219627174051.

150471726912 is a `hidden beast` number, since 1 + 50 + 471 + 72 + 69 + 1 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3733698816 + 146738028096 = 61104^2 + 383064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150471726913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 675543 + ... + 870230.

Almost surely, 2150471726912 is an apocalyptic number.

150471726912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150471726912 is an abundant number, since it is smaller than the sum of its proper divisors (316557609030).

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

150471726912 is a wasteful number, since it uses less digits than its factorization.

150471726912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545817 (or 1545791 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 150471726912 in words is "one hundred fifty billion, four hundred seventy-one million, seven hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 169 192 208 234 288 312 338 416 468 507 576 624 676 832 936 1014 1248 1352 1521 1872 2028 2496 2704 3042 3744 4056 5408 6084 7488 8112 10816 12168 16224 24336 32448 48672 97344 1545773 3091546 4637319 6183092 9274638 12366184 13911957 18549276 20095049 24732368 27823914 37098552 40190098 49464736 55647828 60285147 74197104 80380196 98929472 111295656 120570294 148394208 160760392 180855441 222591312 241140588 261235637 296788416 321520784 361710882 445182624 482281176 522471274 643041568 723421764 783706911 890365248 964562352 1044942548 1286083136 1446843528 1567413822 1929124704 2089885096 2351120733 2893687056 3134827644 3858249408 4179770192 4702241466 5787374112 6269655288 8359540384 9404482932 11574748224 12539310576 16719080768 18808965864 25078621152 37617931728 50157242304 75235863456 150471726912