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53374420448 = 2523373974937
BaseRepresentation
bin110001101101010111…
…010000010111100000
312002202202101111020222
4301231113100113200
51333302322423243
640304143022212
73566445042146
oct615527202740
9162682344228
1053374420448
11206aa518088
12a416b9a968
135057baa90b
14282495d596
1515c5c48168
hexc6d5d05e0

53374420448 has 96 divisors (see below), whose sum is σ = 112919655744. Its totient is φ = 24769400832.

The previous prime is 53374420441. The next prime is 53374420459. The reversal of 53374420448 is 84402447335.

It is a junction number, because it is equal to n+sod(n) for n = 53374420399 and 53374420408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53374420441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10808636 + ... + 10813572.

It is an arithmetic number, because the mean of its divisors is an integer number (1176246414).

Almost surely, 253374420448 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 53374420448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56459827872).

53374420448 is an abundant number, since it is smaller than the sum of its proper divisors (59545235296).

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

53374420448 is a wasteful number, since it uses less digits than its factorization.

53374420448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404 (or 5396 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 44.

The spelling of 53374420448 in words is "fifty-three billion, three hundred seventy-four million, four hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 37 46 74 92 148 184 296 368 397 592 736 794 851 1184 1588 1702 3176 3404 4937 6352 6808 9131 9874 12704 13616 14689 18262 19748 27232 29378 36524 39496 58756 73048 78992 113551 117512 146096 157984 182669 227102 235024 292192 337847 365338 454204 470048 675694 730676 908408 1351388 1461352 1816816 1959989 2702776 2922704 3633632 3919978 4201387 5405552 5845408 7839956 8402774 10811104 15679912 16805548 31359824 33611096 45079747 62719648 67222192 72519593 90159494 134444384 145039186 180318988 290078372 360637976 580156744 721275952 1160313488 1442551904 1667950639 2320626976 3335901278 6671802556 13343605112 26687210224 53374420448