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48318433776 = 24327910494049
BaseRepresentation
bin101101000000000000…
…001100100111110000
311121201101122202102100
4231000000030213300
51242424004340101
634110331420400
73330242624214
oct550000144760
9147641582370
1048318433776
11195455504a8
1294458b4700
134730578a22
1424a5286944
1513cbe32e86
hexb4000c9f0

48318433776 has 120 divisors (see below), whose sum is σ = 137100600000. Its totient is φ = 15883186176.

The previous prime is 48318433739. The next prime is 48318433817. The reversal of 48318433776 is 67733481384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11931400 + ... + 11935448.

It is an arithmetic number, because the mean of its divisors is an integer number (1142505000).

Almost surely, 248318433776 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 48318433776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68550300000).

48318433776 is an abundant number, since it is smaller than the sum of its proper divisors (88782166224).

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

48318433776 is a wasteful number, since it uses less digits than its factorization.

48318433776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5191 (or 5182 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 48318433776 in words is "forty-eight billion, three hundred eighteen million, four hundred thirty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1049 1264 1422 1896 2098 2844 3147 3792 4049 4196 5688 6294 8098 8392 9441 11376 12147 12588 16196 16784 18882 24294 25176 32392 36441 37764 48588 50352 64784 72882 75528 82871 97176 145764 151056 165742 194352 248613 291528 319871 331484 497226 583056 639742 662968 745839 959613 994452 1279484 1325936 1491678 1919226 1988904 2558968 2878839 2983356 3838452 3977808 4247401 5117936 5757678 5966712 7676904 8494802 11515356 11933424 12742203 15353808 16989604 23030712 25484406 33979208 38226609 46061424 50968812 67958416 76453218 101937624 152906436 203875248 305812872 335544679 611625744 671089358 1006634037 1342178716 2013268074 2684357432 3019902111 4026536148 5368714864 6039804222 8053072296 12079608444 16106144592 24159216888 48318433776