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5419056096 = 2532149293431
BaseRepresentation
bin1010000110000000…
…00011101111100000
3111222122220120110100
411003000003233200
542044234243341
62253421102400
7251201134236
oct50300035740
914878816410
105419056096
112330a09063
1210729b7a00
13684912a8c
143959c6956
1521ab313b6
hex143003be0

5419056096 has 144 divisors (see below), whose sum is σ = 15602932800. Its totient is φ = 1783956480.

The previous prime is 5419056089. The next prime is 5419056127. The reversal of 5419056096 is 6906509145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×54190560962 = 58732337943189522432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12573001 + ... + 12573431.

It is an arithmetic number, because the mean of its divisors is an integer number (108353700).

Almost surely, 25419056096 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 5419056096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7801466400).

5419056096 is an abundant number, since it is smaller than the sum of its proper divisors (10183876704).

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

5419056096 is a wasteful number, since it uses less digits than its factorization.

5419056096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 5419056096 is about 73614.2384053520. The cubic root of 5419056096 is about 1756.4719372587.

The spelling of 5419056096 in words is "five billion, four hundred nineteen million, fifty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 149 288 293 298 431 447 586 596 862 879 894 1172 1192 1293 1341 1724 1758 1788 2344 2384 2586 2637 2682 3448 3516 3576 3879 4688 4768 5172 5274 5364 6896 7032 7152 7758 9376 10344 10548 10728 13792 14064 14304 15516 20688 21096 21456 28128 31032 41376 42192 42912 43657 62064 64219 84384 87314 124128 126283 128438 130971 174628 192657 252566 256876 261942 349256 378849 385314 392913 505132 513752 523884 577971 698512 757698 770628 785826 1010264 1027504 1047768 1136547 1155942 1397024 1515396 1541256 1571652 2020528 2055008 2095536 2273094 2311884 3030792 3082512 3143304 4041056 4191072 4546188 4623768 6061584 6165024 6286608 9092376 9247536 12123168 12573216 18184752 18495072 18816167 36369504 37632334 56448501 75264668 112897002 150529336 169345503 225794004 301058672 338691006 451588008 602117344 677382012 903176016 1354764024 1806352032 2709528048 5419056096