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5044012506 = 23313171632593
BaseRepresentation
bin1001011001010010…
…11000010111011010
3111000112012101101000
410230221120113122
540312231400011
62152302405430
7235665253551
oct45451302732
914015171330
105044012506
112159239285
12b89290876
13624ccb8b0
1435bc7ad98
151e7c4c356
hex12ca585da

5044012506 has 128 divisors (see below), whose sum is σ = 12864579840. Its totient is φ = 1451188224.

The previous prime is 5044012499. The next prime is 5044012529. The reversal of 5044012506 is 6052104405.

5044012506 is a `hidden beast` number, since 5 + 0 + 4 + 401 + 250 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

5044012506 is a modest number, since divided by 12506 gives 5044 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 5044012506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1943946 + ... + 1946538.

It is an arithmetic number, because the mean of its divisors is an integer number (100504530).

Almost surely, 25044012506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5044012506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6432289920).

5044012506 is an abundant number, since it is smaller than the sum of its proper divisors (7820567334).

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

5044012506 is a wasteful number, since it uses less digits than its factorization.

5044012506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5044012506 is about 71021.2116624322. The cubic root of 5044012506 is about 1714.9786515998.

The spelling of 5044012506 in words is "five billion, forty-four million, twelve thousand, five hundred six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 163 221 234 306 326 351 442 459 489 663 702 918 978 1326 1467 1989 2119 2593 2771 2934 3978 4238 4401 5186 5542 5967 6357 7779 8313 8802 11934 12714 15558 16626 19071 23337 24939 33709 36023 38142 44081 46674 49878 57213 67418 70011 72046 74817 88162 101127 108069 114426 132243 140022 149634 202254 216138 264486 303381 324207 396729 422659 573053 606762 648414 793458 845318 910143 972621 1146106 1190187 1267977 1719159 1820286 1945242 2380374 2535954 3438318 3803931 5157477 5494567 7185203 7607862 10314954 10989134 11411793 14370406 15472431 16483701 21555609 22823586 30944862 32967402 43111218 49451103 64666827 93407639 98902206 129333654 148353309 186815278 194000481 280222917 296706618 388000962 560445834 840668751 1681337502 2522006253 5044012506