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4886292816 = 2433371072857
BaseRepresentation
bin1001000110011111…
…01110100101010000
3110121112102101122000
410203033232211100
540001342332231
62124510114000
7232041542436
oct44317564520
913545371560
104886292816
112088204129
12b444ab900
135cb429032
14344d42d56
151d8e956e6
hex1233ee950

4886292816 has 160 divisors (see below), whose sum is σ = 14544247680. Its totient is φ = 1569383424.

The previous prime is 4886292773. The next prime is 4886292823. The reversal of 4886292816 is 6182926884.

4886292816 is a `hidden beast` number, since 4 + 8 + 8 + 629 + 2 + 8 + 1 + 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1708860 + ... + 1711716.

It is an arithmetic number, because the mean of its divisors is an integer number (90901548).

Almost surely, 24886292816 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 4886292816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272123840).

4886292816 is an abundant number, since it is smaller than the sum of its proper divisors (9657954864).

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

4886292816 is a wasteful number, since it uses less digits than its factorization.

4886292816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 3006 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 4886292816 is about 69902.0229750184. The cubic root of 4886292816 is about 1696.9139879690.

The spelling of 4886292816 in words is "four billion, eight hundred eighty-six million, two hundred ninety-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 107 108 111 144 148 214 216 222 296 321 333 428 432 444 592 642 666 856 888 963 999 1284 1332 1712 1776 1926 1998 2568 2664 2857 2889 3852 3959 3996 5136 5328 5714 5778 7704 7918 7992 8571 11428 11556 11877 15408 15836 15984 17142 22856 23112 23754 25713 31672 34284 35631 45712 46224 47508 51426 63344 68568 71262 77139 95016 102852 105709 106893 137136 142524 154278 190032 205704 211418 213786 285048 305699 308556 317127 411408 422836 427572 570096 611398 617112 634254 845672 855144 917097 951381 1222796 1234224 1268508 1691344 1710288 1834194 1902762 2445592 2537016 2751291 2854143 3668388 3805524 4891184 5074032 5502582 5708286 7336776 7611048 8253873 11005164 11310863 11416572 14673552 15222096 16507746 22010328 22621726 22833144 33015492 33932589 44020656 45243452 45666288 66030984 67865178 90486904 101797767 132061968 135730356 180973808 203595534 271460712 305393301 407191068 542921424 610786602 814382136 1221573204 1628764272 2443146408 4886292816