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257237948472 = 23354443196871
BaseRepresentation
bin1110111110010010010…
…0111001100000111000
3220120222100120201211220
43233210210321200320
513203310403322342
6314101245552040
724404411325231
oct3574444714070
9816870521756
10257237948472
119a10413004a
1241a30575620
131b346777c3b
14c643bcc088
156a584865ec
hex3be4939838

257237948472 has 32 divisors (see below), whose sum is σ = 643109950080. Its totient is φ = 85743972320.

The previous prime is 257237948417. The next prime is 257237948491. The reversal of 257237948472 is 274849732752.

257237948472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1208197 + ... + 1405067.

It is an arithmetic number, because the mean of its divisors is an integer number (20097185940).

Almost surely, 2257237948472 is an apocalyptic number.

It is an amenable number.

257237948472 is an abundant number, since it is smaller than the sum of its proper divisors (385872001608).

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

257237948472 is a wasteful number, since it uses less digits than its factorization.

257237948472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251323 (or 251319 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 60.

The spelling of 257237948472 in words is "two hundred fifty-seven billion, two hundred thirty-seven million, nine hundred forty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 54443 108886 163329 196871 217772 326658 393742 435544 590613 653316 787484 1181226 1306632 1574968 2362452 4724904 10718247853 21436495706 32154743559 42872991412 64309487118 85745982824 128618974236 257237948472