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48673948160 = 29531976323
BaseRepresentation
bin101101010101001100…
…011000001000000000
311122122011121202110202
4231111030120020000
51244141012320120
634205511344332
73342120506255
oct552514301000
9148564552422
1048673948160
11197081a1742
1295249820a8
134789112b76
1424da58b42c
1513ed25a875
hexb55318200

48673948160 has 160 divisors (see below), whose sum is σ = 121729208832. Its totient is φ = 18644336640.

The previous prime is 48673948159. The next prime is 48673948189. The reversal of 48673948160 is 6184937684.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 48673948096 and 48673948105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7694759 + ... + 7701081.

Almost surely, 248673948160 is an apocalyptic number.

48673948160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48673948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60864604416).

48673948160 is an abundant number, since it is smaller than the sum of its proper divisors (73055260672).

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

48673948160 is an equidigital number, since it uses as much as digits as its factorization.

48673948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6474 (or 6458 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 56.

The spelling of 48673948160 in words is "forty-eight billion, six hundred seventy-three million, nine hundred forty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 97 124 128 155 160 194 248 256 310 320 388 485 496 512 620 640 776 970 992 1240 1280 1552 1940 1984 2480 2560 3007 3104 3880 3968 4960 6014 6208 6323 7760 7936 9920 12028 12416 12646 15035 15520 15872 19840 24056 24832 25292 30070 31040 31615 39680 48112 49664 50584 60140 62080 63230 79360 96224 101168 120280 124160 126460 192448 196013 202336 240560 248320 252920 384896 392026 404672 481120 505840 613331 769792 784052 809344 962240 980065 1011680 1226662 1539584 1568104 1618688 1924480 1960130 2023360 2453324 3066655 3136208 3237376 3848960 3920260 4046720 4906648 6133310 6272416 7697920 7840520 8093440 9813296 12266620 12544832 15681040 16186880 19013261 19626592 24533240 25089664 31362080 38026522 39253184 49066480 50179328 62724160 76053044 78506368 95066305 98132960 100358656 125448320 152106088 157012736 190132610 196265920 250896640 304212176 314025472 380265220 392531840 501793280 608424352 760530440 785063680 1216848704 1521060880 1570127360 2433697408 3042121760 4867394816 6084243520 9734789632 12168487040 24336974080 48673948160