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5084406912 = 27313278347
BaseRepresentation
bin1001011110000110…
…11110010010000000
3111010100012122002010
410233003132102000
540403102010122
62200304252520
7236665513524
oct45703362200
914110178063
105084406912
11217a019192
12b9a911140
136304a2b00
14363393d84
151eb57ae0c
hex12f0de480

5084406912 has 96 divisors (see below), whose sum is σ = 14624437680. Its totient is φ = 1564412928.

The previous prime is 5084406871. The next prime is 5084406941. The reversal of 5084406912 is 2196044805.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25723 + ... + 104069.

Almost surely, 25084406912 is an apocalyptic number.

5084406912 is a gapful number since it is divisible by the number (52) 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 5084406912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312218840).

5084406912 is an abundant number, since it is smaller than the sum of its proper divisors (9540030768).

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

5084406912 is a wasteful number, since it uses less digits than its factorization.

5084406912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78390 (or 78365 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 5084406912 is about 71305.0272561479. The cubic root of 5084406912 is about 1719.5445558138.

The spelling of 5084406912 in words is "five billion, eighty-four million, four hundred six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1248 1352 1664 2028 2496 2704 4056 4992 5408 8112 10816 16224 21632 32448 64896 78347 156694 235041 313388 470082 626776 940164 1018511 1253552 1880328 2037022 2507104 3055533 3760656 4074044 5014208 6111066 7521312 8148088 10028416 12222132 13240643 15042624 16296176 24444264 26481286 30085248 32592352 39721929 48888528 52962572 65184704 79443858 97777056 105925144 130369408 158887716 195554112 211850288 317775432 391108224 423700576 635550864 847401152 1271101728 1694802304 2542203456 5084406912