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5090591968 = 25731123833
BaseRepresentation
bin1001011110110110…
…00100010011100000
3111010202211212101021
410233123010103200
540411142420333
62201045015224
7240102214000
oct45733042340
914122755337
105090591968
112182563100
12ba09b4514
1363185a0c7
14364124000
151ebd9d82d
hex12f6c44e0

5090591968 has 144 divisors (see below), whose sum is σ = 12850034400. Its totient is φ = 1982830080.

The previous prime is 5090591959. The next prime is 5090591981. The reversal of 5090591968 is 8691950905.

It is a super-2 number, since 2×50905919682 = 51828253169332226048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

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, 1326180 + ... + 1330012.

It is an arithmetic number, because the mean of its divisors is an integer number (89236350).

Almost surely, 25090591968 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 5090591968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6425017200).

5090591968 is an abundant number, since it is smaller than the sum of its proper divisors (7759442432).

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

5090591968 is a wasteful number, since it uses less digits than its factorization.

5090591968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 52.

The square root of 5090591968 is about 71348.3844806594. The cubic root of 5090591968 is about 1720.2415344958.

The spelling of 5090591968 in words is "five billion, ninety million, five hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 121 154 176 196 224 242 308 343 352 392 484 539 616 686 784 847 968 1078 1232 1372 1568 1694 1936 2156 2464 2744 3388 3773 3833 3872 4312 5488 5929 6776 7546 7666 8624 10976 11858 13552 15092 15332 17248 23716 26831 27104 30184 30664 41503 42163 47432 53662 60368 61328 83006 84326 94864 107324 120736 122656 166012 168652 187817 189728 214648 295141 332024 337304 375634 429296 463793 590282 664048 674608 751268 858592 927586 1180564 1314719 1328096 1349216 1502536 1855172 2065987 2361128 2629438 3005072 3246551 3710344 4131974 4722256 5258876 6010144 6493102 7420688 8263948 9444512 10517752 12986204 14461909 14841376 16527896 21035504 22725857 25972408 28923818 33055792 42071008 45451714 51944816 57847636 66111584 90903428 103889632 115695272 159080999 181806856 231390544 318161998 363613712 462781088 636323996 727227424 1272647992 2545295984 5090591968