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5011066944 = 26341374357
BaseRepresentation
bin1001010101010111…
…01101000001000000
3110221020012120120000
410222223231001000
540230313120234
62145124320000
7235115236422
oct45253550100
913836176500
105011066944
112141686844
12b7a243000
1361b234c90
14357742812
151e4de0899
hex12aaed040

5011066944 has 140 divisors (see below), whose sum is σ = 15997231404. Its totient is φ = 1541846016.

The previous prime is 5011066943. The next prime is 5011066961. The reversal of 5011066944 is 4496601105.

5011066944 is a `hidden beast` number, since 501 + 1 + 0 + 66 + 94 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 479084544 + 4531982400 = 21888^2 + 67320^2 .

It is a super-2 number, since 2×50110669442 = 50221583834498998272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5011066899 and 5011066908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5011066943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30214 + ... + 104570.

Almost surely, 25011066944 is an apocalyptic number.

5011066944 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 5011066944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7998615702).

5011066944 is an abundant number, since it is smaller than the sum of its proper divisors (10986164460).

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

5011066944 is a wasteful number, since it uses less digits than its factorization.

5011066944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74394 (or 74375 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5011066944 is about 70788.8899757582. The cubic root of 5011066944 is about 1711.2366308751.

The spelling of 5011066944 in words is "five billion, eleven million, sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 67392 74357 148714 223071 297428 446142 594856 669213 892284 966641 1189712 1338426 1784568 1933282 2007639 2379424 2676852 2899923 3569136 3866564 4015278 4758848 5353704 5799846 6022917 7138272 7733128 8030556 8699769 10707408 11599692 12045834 14276544 15466256 16061112 17399538 21414816 23199384 24091668 26099307 30932512 32122224 34799076 42829632 46398768 48183336 52198614 61865024 64244448 69598152 78297921 92797536 96366672 104397228 128488896 139196304 156595842 185595072 192733344 208794456 278392608 313191684 385466688 417588912 556785216 626383368 835177824 1252766736 1670355648 2505533472 5011066944