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501872005376 = 287240008929
BaseRepresentation
bin1110100110110011110…
…01110001000100000000
31202222102022201102211222
413103121321301010000
531210313213133001
61022320134454212
751154566442100
oct7233171610400
91688368642758
10501872005376
1118392a732885
1281323b04368
1338431c2c371
141a40dac1200
15d0c516161b
hex74d9e71100

501872005376 has 54 divisors (see below), whose sum is σ = 1165340104110. Its totient is φ = 215087996928.

The previous prime is 501872005357. The next prime is 501872005381. The reversal of 501872005376 is 673500278105.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 466762240000 + 35109765376 = 683200^2 + 187376^2 .

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 5 ways as a sum of consecutive naturals, for example, 19991921 + ... + 20017008.

Almost surely, 2501872005376 is an apocalyptic number.

501872005376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

501872005376 is an abundant number, since it is smaller than the sum of its proper divisors (663468098734).

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

501872005376 is an equidigital number, since it uses as much as digits as its factorization.

501872005376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40008959 (or 40008938 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 44.

The spelling of 501872005376 in words is "five hundred one billion, eight hundred seventy-two million, five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 40008929 80017858 160035716 280062503 320071432 560125006 640142864 1120250012 1280285728 1960437521 2240500024 2560571456 3920875042 4481000048 5121142912 7841750084 8962000096 10242285824 15683500168 17924000192 31367000336 35848000384 62734000672 71696000768 125468001344 250936002688 501872005376