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590631013968 = 243435933114653
BaseRepresentation
bin10001001100001000101…
…10100000111001010000
32002110112002110020210120
420212010112200321100
534134103014421333
61131155424230240
760446246532642
oct10460426407120
92073462406716
10590631013968
1120853789a736
129657516b380
13439089072a8
142082dc5c892
151056c5a6db3
hex89845a0e50

590631013968 has 160 divisors (see below), whose sum is σ = 1592648302080. Its totient is φ = 188455196160.

The previous prime is 590631013927. The next prime is 590631014111. The reversal of 590631013968 is 869310136095.

It is a super-2 number, since 2×5906310139682 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 590631013968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40300530 + ... + 40315182.

It is an arithmetic number, because the mean of its divisors is an integer number (9954051888).

Almost surely, 2590631013968 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 590631013968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796324151040).

590631013968 is an abundant number, since it is smaller than the sum of its proper divisors (1002017288112).

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

590631013968 is a wasteful number, since it uses less digits than its factorization.

590631013968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15097 (or 15091 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 590631013968 in words is "five hundred ninety billion, six hundred thirty-one million, thirteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 59 86 118 129 172 177 236 258 331 344 354 472 516 662 688 708 944 993 1032 1324 1416 1986 2064 2537 2648 2832 3972 5074 5296 7611 7944 10148 14233 14653 15222 15888 19529 20296 28466 29306 30444 39058 40592 42699 43959 56932 58587 58612 60888 78116 85398 87918 113864 117174 117224 121776 156232 170796 175836 227728 234348 234448 312464 341592 351672 468696 630079 683184 703344 839747 864527 937392 1260158 1679494 1729054 1890237 2519241 2520316 2593581 3358988 3458108 3780474 4850143 5038482 5040632 5187162 6717976 6916216 7560948 9700286 10076964 10081264 10374324 13435952 13832432 14550429 15121896 19400572 20153928 20748648 29100858 30243792 37174661 38801144 40307856 41497296 58201716 74349322 77602288 111523983 116403432 148698644 208556149 223047966 232806864 286158437 297397288 417112298 446095932 572316874 594794576 625668447 834224596 858475311 892191864 1144633748 1251336894 1668449192 1716950622 1784383728 2289267496 2502673788 3336898384 3433901244 4578534992 5005347576 6867802488 10010695152 12304812791 13735604976 24609625582 36914438373 49219251164 73828876746 98438502328 147657753492 196877004656 295315506984 590631013968