Search a number
-
+
631625505534 = 233172976131177
BaseRepresentation
bin10010011000011111101…
…00000101101011111110
32020101100001211012021000
421030033310011223332
540322032112134114
61202055330351130
763430161133032
oct11141764055376
92211301735230
10631625505534
11223964149a31
12a24b612b4a6
134773ca186aa
14227dc5421c2
151166b532e09
hex930fd05afe

631625505534 has 128 divisors (see below), whose sum is σ = 1539494812800. Its totient is φ = 191066480640.

The previous prime is 631625505461. The next prime is 631625505593. The reversal of 631625505534 is 435505526136.

631625505534 is a `hidden beast` number, since 6 + 3 + 1 + 62 + 5 + 50 + 5 + 534 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 631625505534.

It is a congruent number.

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, 20243754 + ... + 20274930.

It is an arithmetic number, because the mean of its divisors is an integer number (12027303225).

Almost surely, 2631625505534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631625505534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769747406400).

631625505534 is an abundant number, since it is smaller than the sum of its proper divisors (907869307266).

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

631625505534 is a wasteful number, since it uses less digits than its factorization.

631625505534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31995 (or 31989 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 631625505534 in words is "six hundred thirty-one billion, six hundred twenty-five million, five hundred five thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 54 58 87 102 153 174 261 306 459 493 522 761 783 918 986 1479 1522 1566 2283 2958 4437 4566 6849 8874 12937 13311 13698 20547 22069 25874 26622 31177 38811 41094 44138 62354 66207 77622 93531 116433 132414 187062 198621 232866 280593 349299 375173 397242 530009 561186 595863 698598 750346 841779 904133 1060018 1125519 1191726 1590027 1683558 1808266 2251038 2712399 3180054 3376557 4770081 5424798 6753114 8137197 9540162 10129671 14310243 15370261 16274394 20259342 23725697 24411591 28620486 30740522 46110783 47451394 48823182 71177091 92221566 138332349 142354182 213531273 276664698 403336849 414997047 427062546 640593819 688045213 806673698 829994094 1210010547 1281187638 1376090426 2064135639 2420021094 3630031641 4128271278 6192406917 7260063282 10890094923 11696768621 12384813834 18577220751 21780189846 23393537242 35090305863 37154441502 70180611726 105270917589 210541835178 315812752767 631625505534