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48471776136 = 2333771944587
BaseRepresentation
bin101101001001001001…
…001001101110001000
311122010002012100121000
4231021021021232020
51243232233314021
634133450215000
73334114204410
oct551111115610
9148102170530
1048471776136
1119614065923
129489124460
134756278054
1424bb7a1640
1513da622b26
hexb49249b88

48471776136 has 128 divisors (see below), whose sum is σ = 154096128000. Its totient is φ = 13829507136.

The previous prime is 48471776117. The next prime is 48471776137. The reversal of 48471776136 is 63167717484.

It is a happy number.

48471776136 is a `hidden beast` number, since 4 + 8 + 4 + 7 + 17 + 7 + 613 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48471776137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1064835 + ... + 1109421.

It is an arithmetic number, because the mean of its divisors is an integer number (1203876000).

Almost surely, 248471776136 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 48471776136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77048064000).

48471776136 is an abundant number, since it is smaller than the sum of its proper divisors (105624351864).

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

48471776136 is a wasteful number, since it uses less digits than its factorization.

48471776136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45328 (or 45318 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 48471776136 in words is "forty-eight billion, four hundred seventy-one million, seven hundred seventy-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 719 756 1438 1512 2157 2876 4314 5033 5752 6471 8628 10066 12942 15099 17256 19413 20132 25884 30198 38826 40264 44587 45297 51768 60396 77652 89174 90594 120792 133761 135891 155304 178348 181188 267522 271782 312109 356696 362376 401283 535044 543564 624218 802566 936327 1070088 1087128 1203849 1248436 1605132 1872654 2407698 2496872 2808981 3210264 3745308 4815396 5617962 7490616 8426943 9630792 11235924 16853886 22471848 32058053 33707772 64116106 67415544 96174159 128232212 192348318 224406371 256464424 288522477 384696636 448812742 577044954 673219113 769393272 865567431 897625484 1154089908 1346438226 1731134862 1795250968 2019657339 2308179816 2692876452 3462269724 4039314678 5385752904 6058972017 6924539448 8078629356 12117944034 16157258712 24235888068 48471776136