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48397288857856 = 28109239892
BaseRepresentation
bin10110000000100010111110…
…01101011110000100000000
320100100201212021101111022121
423000101133031132010000
522320420121421422411
6250533224011214024
713123405635453421
oct1300213715360400
9210321767344277
1048397288857856
111446a1a1933464
125517876147314
132100ac9c11b23
14bd4626c27648
1558ddd0544571
hex2c045f35e100

48397288857856 has 81 divisors (see below), whose sum is σ = 97524394457511. Its totient is φ = 23970627827712.

The previous prime is 48397288857829. The next prime is 48397288857871. The reversal of 48397288857856 is 65875888279384.

The square root of 48397288857856 is 6956816.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1449577472256 + 46947711385600 = 1203984^2 + 6851840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12132685110 + ... + 12132689098.

Almost surely, 248397288857856 is an apocalyptic number.

48397288857856 is the 6956816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48397288857856

48397288857856 is an abundant number, since it is smaller than the sum of its proper divisors (49127105599655).

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

48397288857856 is an frugal number, since it uses more digits than its factorization.

48397288857856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8212 (or 4100 counting only the distinct ones).

The product of its digits is 52022476800, while the sum is 88.

The spelling of 48397288857856 in words is "forty-eight trillion, three hundred ninety-seven billion, two hundred eighty-eight million, eight hundred fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 872 1744 3488 3989 6976 7978 11881 13952 15956 23762 27904 31912 47524 63824 95048 127648 190096 255296 380192 434801 510592 760384 869602 1021184 1520768 1739204 3041536 3478408 6956816 13913632 15912121 27827264 31824242 47393309 55654528 63648484 94786618 111309056 127296968 189573236 254593936 379146472 509187872 758292944 1018375744 1516585888 1734421189 2036751488 3033171776 3468842378 4073502976 6066343552 6937684756 12132687104 13875369512 27750739024 55501478048 111002956096 189051909601 222005912192 378103819202 444011824384 756207638404 1512415276808 3024830553616 6049661107232 12099322214464 24198644428928 48397288857856