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5119305888 = 2531915118587
BaseRepresentation
bin1001100010010001…
…00110100010100000
3111012202212200110210
410301020212202200
540441020242023
62203552254120
7240601245024
oct46110464240
914182780423
105119305888
112197795314
12baa541340
136377a18a8
14367c7a384
151ee671593
hex1312268a0

5119305888 has 96 divisors (see below), whose sum is σ = 14239895040. Its totient is φ = 1605830400.

The previous prime is 5119305859. The next prime is 5119305991. The reversal of 5119305888 is 8885039115.

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

It is a super-2 number, since 2×51193058882 = 52414585549822937088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 266131 + ... + 284717.

It is an arithmetic number, because the mean of its divisors is an integer number (148332240).

Almost surely, 25119305888 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 5119305888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7119947520).

5119305888 is an abundant number, since it is smaller than the sum of its proper divisors (9120589152).

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

5119305888 is a wasteful number, since it uses less digits than its factorization.

5119305888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18770 (or 18762 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 48.

The square root of 5119305888 is about 71549.3248605464. The cubic root of 5119305888 is about 1723.4698621008.

The spelling of 5119305888 in words is "five billion, one hundred nineteen million, three hundred five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 151 152 228 302 304 453 456 604 608 906 912 1208 1812 1824 2416 2869 3624 4832 5738 7248 8607 11476 14496 17214 18587 22952 34428 37174 45904 55761 68856 74348 91808 111522 137712 148696 223044 275424 297392 353153 446088 594784 706306 892176 1059459 1412612 1784352 2118918 2806637 2825224 4237836 5613274 5650448 8419911 8475672 11226548 11300896 16839822 16951344 22453096 33679644 33902688 44906192 53326103 67359288 89812384 106652206 134718576 159978309 213304412 269437152 319956618 426608824 639913236 853217648 1279826472 1706435296 2559652944 5119305888