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5114798784 = 26341951929
BaseRepresentation
bin1001100001101110…
…11010001011000000
3111012110101200220000
410300313122023000
540433342030114
62203311520000
7240515033544
oct46067321300
914173350800
105114798784
112195197037
12ba8b29000
13636884274
14367425a24
151ee080e09
hex130dda2c0

5114798784 has 140 divisors (see below), whose sum is σ = 15960166200. Its totient is φ = 1615168512.

The previous prime is 5114798753. The next prime is 5114798797. The reversal of 5114798784 is 4878974115.

5114798784 is a `hidden beast` number, since 5 + 11 + 479 + 87 + 84 = 666.

It is a super-2 number, since 2×51147987842 = 52322333201615757312, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5114798784.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72532 + ... + 124460.

Almost surely, 25114798784 is an apocalyptic number.

5114798784 is a gapful number since it is divisible by the number (54) 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 5114798784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7980083100).

5114798784 is an abundant number, since it is smaller than the sum of its proper divisors (10845367416).

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

5114798784 is a wasteful number, since it uses less digits than its factorization.

5114798784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51972 (or 51953 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

The square root of 5114798784 is about 71517.8214433298. The cubic root of 5114798784 is about 1722.9639251088.

The spelling of 5114798784 in words is "five billion, one hundred fourteen million, seven hundred ninety-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 1026 1216 1296 1368 1539 1728 1824 2052 2592 2736 3078 3648 4104 5184 5472 6156 8208 10944 12312 16416 24624 32832 49248 51929 98496 103858 155787 207716 311574 415432 467361 623148 830864 934722 986651 1246296 1402083 1661728 1869444 1973302 2492592 2804166 2959953 3323456 3738888 3946604 4206249 4985184 5608332 5919906 7477776 7893208 8412498 8879859 9970368 11216664 11839812 14955552 15786416 16824996 17759718 22433328 23679624 26639577 29911104 31572832 33649992 35519436 44866656 47359248 53279154 63145664 67299984 71038872 79918731 89733312 94718496 106558308 134599968 142077744 159837462 189436992 213116616 269199936 284155488 319674924 426233232 568310976 639349848 852466464 1278699696 1704932928 2557399392 5114798784