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257422196472 = 233713921795059
BaseRepresentation
bin1110111110111110001…
…1101111111011111000
3220121110012021111120220
43233233203233323320
513204200040241342
6314131431020040
724412106365350
oct3575743577370
9817405244526
10257422196472
119a199134321
1241a8220a620
131b3759a851c
14c66046db60
156a6972d5ec
hex3bef8efef8

257422196472 has 128 divisors (see below), whose sum is σ = 741269760000. Its totient is φ = 72972130176.

The previous prime is 257422196411. The next prime is 257422196503. The reversal of 257422196472 is 274691224752.

257422196472 is digitally balanced in base 7, 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50881479 + ... + 50886537.

It is an arithmetic number, because the mean of its divisors is an integer number (5791170000).

Almost surely, 2257422196472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257422196472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370634880000).

257422196472 is an abundant number, since it is smaller than the sum of its proper divisors (483847563528).

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

257422196472 is a wasteful number, since it uses less digits than its factorization.

257422196472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7393 (or 7389 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The spelling of 257422196472 in words is "two hundred fifty-seven billion, four hundred twenty-two million, one hundred ninety-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 139 168 278 417 556 834 973 1112 1668 1946 2179 2919 3336 3892 4358 5059 5838 6537 7784 8716 10118 11676 13074 15177 15253 17432 20236 23352 26148 30354 30506 35413 40472 45759 52296 60708 61012 70826 91518 106239 121416 122024 141652 183036 212478 283304 302881 366072 424956 605762 703201 849912 908643 1211524 1406402 1817286 2109603 2120167 2423048 2812804 3634572 4219206 4240334 4922407 5625608 6360501 7269144 8438412 8480668 9844814 11023561 12721002 14767221 16876824 16961336 19689628 22047122 25442004 29534442 33070683 39379256 44094244 50884008 59068884 66141366 77164927 88188488 118137768 132282732 154329854 231494781 264565464 308659708 462989562 617319416 925979124 1532274979 1851958248 3064549958 4596824937 6129099916 9193649874 10725924853 12258199832 18387299748 21451849706 32177774559 36774599496 42903699412 64355549118 85807398824 128711098236 257422196472