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48681350820 = 22325416596389
BaseRepresentation
bin101101010101101000…
…100111011010100100
311122122200112212000100
4231111220213122210
51244144411211240
634210334144100
73342240440334
oct552550473244
9148580485010
1048681350820
1119711398443
129527352030
13478a80543b
1424db5570c4
1513edc1de30
hexb55a276a4

48681350820 has 72 divisors (see below), whose sum is σ = 151268415480. Its totient is φ = 12665064960.

The previous prime is 48681350803. The next prime is 48681350843. The reversal of 48681350820 is 2805318684.

48681350820 is a `hidden beast` number, since 48 + 6 + 81 + 3 + 508 + 20 = 666.

48681350820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2642782464 + 46038568356 = 51408^2 + 214566^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3290815 + ... + 3305574.

It is an arithmetic number, because the mean of its divisors is an integer number (2100950215).

Almost surely, 248681350820 is an apocalyptic number.

It is an amenable number.

48681350820 is an abundant number, since it is smaller than the sum of its proper divisors (102587064660).

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

48681350820 is a wasteful number, since it uses less digits than its factorization.

48681350820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6596445 (or 6596440 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 48681350820 in words is "forty-eight billion, six hundred eighty-one million, three hundred fifty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 6596389 13192778 19789167 26385556 32981945 39578334 59367501 65963890 79156668 98945835 118735002 131927780 197891670 237470004 270451949 296837505 395783340 540903898 593675010 811355847 1081807796 1187350020 1352259745 1622711694 2434067541 2704519490 3245423388 4056779235 4868135082 5409038980 8113558470 9736270164 12170337705 16227116940 24340675410 48681350820