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5515840608 = 2531791991613
BaseRepresentation
bin1010010001100010…
…10000110001100000
3112020102000201211220
411020301100301200
542244023344413
62311155335040
7253454604645
oct51061206140
915212021756
105515840608
112380603763
12109b2b1480
1369b99bb15
143a47bbdcc
1522439d223
hex148c50c60

5515840608 has 96 divisors (see below), whose sum is σ = 14642208000. Its totient is φ = 1818026496.

The previous prime is 5515840607. The next prime is 5515840639. The reversal of 5515840608 is 8060485155.

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

It is a super-2 number, since 2×55158406082 = 60848995225723619328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5515840608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5515840607) by changing a digit.

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, 3418810 + ... + 3420422.

It is an arithmetic number, because the mean of its divisors is an integer number (152523000).

Almost surely, 25515840608 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 5515840608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321104000).

5515840608 is an abundant number, since it is smaller than the sum of its proper divisors (9126367392).

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

5515840608 is a wasteful number, since it uses less digits than its factorization.

5515840608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The square root of 5515840608 is about 74268.7054417943. The cubic root of 5515840608 is about 1766.8671755967.

The spelling of 5515840608 in words is "five billion, five hundred fifteen million, eight hundred forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 199 358 398 537 597 716 796 1074 1194 1432 1592 1613 2148 2388 2864 3184 3226 4296 4776 4839 5728 6368 6452 8592 9552 9678 12904 17184 19104 19356 25808 35621 38712 51616 71242 77424 106863 142484 154848 213726 284968 288727 320987 427452 569936 577454 641974 854904 866181 962961 1139872 1154908 1283948 1709808 1732362 1925922 2309816 2567896 3419616 3464724 3851844 4619632 5135792 6929448 7703688 9239264 10271584 13858896 15407376 27717792 30814752 57456673 114913346 172370019 229826692 344740038 459653384 689480076 919306768 1378960152 1838613536 2757920304 5515840608