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20476758848 = 2671331113417
BaseRepresentation
bin10011000100100000…
…101000101101000000
31221212001122010102212
4103010200220231000
5313414022240343
613223520001252
71323301402250
oct230440505500
957761563385
1020476758848
118758661aa7
123b75760228
131c143b3270
14dc374b960
157eca42c18
hex4c4828b40

20476758848 has 112 divisors (see below), whose sum is σ = 51624244224. Its totient is φ = 7839313920.

The previous prime is 20476758833. The next prime is 20476758901. The reversal of 20476758848 is 84885767402.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123836 + ... + 237252.

It is an arithmetic number, because the mean of its divisors is an integer number (460930752).

Almost surely, 220476758848 is an apocalyptic number.

20476758848 is a gapful number since it is divisible by the number (28) 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 20476758848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25812122112).

20476758848 is an abundant number, since it is smaller than the sum of its proper divisors (31147485376).

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

20476758848 is a wasteful number, since it uses less digits than its factorization.

20476758848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113480 (or 113470 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 59.

The spelling of 20476758848 in words is "twenty billion, four hundred seventy-six million, seven hundred fifty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 182 208 217 224 248 364 403 416 434 448 496 728 806 832 868 992 1456 1612 1736 1984 2821 2912 3224 3472 5642 5824 6448 6944 11284 12896 13888 22568 25792 45136 90272 113417 180544 226834 453668 793919 907336 1474421 1587838 1814672 2948842 3175676 3515927 3629344 5897684 6351352 7031854 7258688 10320947 11795368 12702704 14063708 20641894 23590736 24611489 25405408 28127416 41283788 45707051 47181472 49222978 50810816 56254832 82567576 91414102 94362944 98445956 112509664 165135152 182828204 196891912 225019328 319949357 330270304 365656408 393783824 639898714 660540608 731312816 787567648 1279797428 1462625632 1575135296 2559594856 2925251264 5119189712 10238379424 20476758848