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5005004796 = 2233112449853
BaseRepresentation
bin1001010100101001…
…00100111111111100
3110220210210120212000
410222110210333330
540222240123141
62144350342300
7235012560501
oct45224447774
913823716760
105005004796
112139216200
12b781ba990
13619bc18cc
14356a054a8
151e45e45b6
hex12a524ffc

5005004796 has 144 divisors (see below), whose sum is σ = 14311332000. Its totient is φ = 1511516160.

The previous prime is 5005004791. The next prime is 5005004821. The reversal of 5005004796 is 6974005005.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5005004796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005004791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5867106 + ... + 5867958.

It is an arithmetic number, because the mean of its divisors is an integer number (99384250).

Almost surely, 25005004796 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 5005004796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7155666000).

5005004796 is an abundant number, since it is smaller than the sum of its proper divisors (9306327204).

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

5005004796 is a wasteful number, since it uses less digits than its factorization.

5005004796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5005004796 is about 70746.0585191854. The cubic root of 5005004796 is about 1710.5462951390.

The spelling of 5005004796 in words is "five billion, five million, four thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 449 484 594 726 853 898 1089 1188 1347 1452 1706 1796 2178 2559 2694 3267 3412 4041 4356 4939 5118 5388 6534 7677 8082 9383 9878 10236 12123 13068 14817 15354 16164 18766 19756 23031 24246 28149 29634 30708 37532 44451 46062 48492 54329 56298 59268 84447 88902 92124 103213 108658 112596 133353 162987 168894 177804 206426 217316 253341 266706 309639 325974 337788 382997 412852 488961 506682 533412 619278 651948 765994 928917 977922 1013364 1148991 1238556 1466883 1531988 1857834 1955844 2297982 2786751 2933766 3446973 3715668 4212967 4595964 5573502 5867532 6893946 8425934 10340919 11147004 12638901 13787892 16851868 20681838 25277802 37916703 41363676 46342637 50555604 75833406 92685274 113750109 139027911 151666812 185370548 227500218 278055822 417083733 455000436 556111644 834167466 1251251199 1668334932 2502502398 5005004796