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48757858132100 = 225213233160970149
BaseRepresentation
bin10110001011000010100101…
…10100000110000010000100
320101122012112222002110021012
423011201102310012002010
522342322043140211400
6251411014550141352
713161432114642335
oct1305412264060204
9211565488073235
1048757858132100
11145991008899a7
125575724051858
132128b003c9080
14c07c7028828c
15598485404d35
hex2c5852d06084

48757858132100 has 72 divisors (see below), whose sum is σ = 114432391873800. Its totient is φ = 17925635681280.

The previous prime is 48757858132073. The next prime is 48757858132121. The reversal of 48757858132100 is 123185875784.

It can be written as a sum of positive squares in 12 ways, for example, as 35258347639876 + 13499510492224 = 5937874^2 + 3674168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 48757858132100.

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, 80182175 + ... + 80787974.

It is an arithmetic number, because the mean of its divisors is an integer number (1589338776025).

Almost surely, 248757858132100 is an apocalyptic number.

It is an amenable number.

48757858132100 is an abundant number, since it is smaller than the sum of its proper divisors (65674533741700).

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

48757858132100 is a wasteful number, since it uses less digits than its factorization.

48757858132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160970409 (or 160970402 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 59.

The spelling of 48757858132100 in words is "forty-eight trillion, seven hundred fifty-seven billion, eight hundred fifty-eight million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 233 260 325 466 650 932 1165 1300 2330 3029 4660 5825 6058 11650 12116 15145 23300 30290 60580 75725 151450 302900 160970149 321940298 643880596 804850745 1609701490 2092611937 3219402980 4024253725 4185223874 8048507450 8370447748 10463059685 16097014900 20926119370 37506044717 41852238740 52315298425 75012089434 104630596850 150024178868 187530223585 209261193700 375060447170 487578581321 750120894340 937651117925 975157162642 1875302235850 1950314325284 2437892906605 3750604471700 4875785813210 9751571626420 12189464533025 24378929066050 48757858132100