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631234460010 = 235711391769763
BaseRepresentation
bin10010010111110001000…
…00010111100101101010
32020100022211000000122110
421023320200113211222
540320232010210020
61201552441103150
763414402244440
oct11137040274552
92210284000573
10631234460010
1122378343a710
12a2407187ab6
13476a99c0acb
14227a262cb90
151164703c8e0
hex92f881796a

631234460010 has 128 divisors (see below), whose sum is σ = 1889293953024. Its totient is φ = 131130236160.

The previous prime is 631234459997. The next prime is 631234460053. The reversal of 631234460010 is 10064432136.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 631234460010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9013389 + ... + 9083151.

It is an arithmetic number, because the mean of its divisors is an integer number (14760109008).

Almost surely, 2631234460010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631234460010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944646976512).

631234460010 is an abundant number, since it is smaller than the sum of its proper divisors (1258059493014).

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

631234460010 is a wasteful number, since it uses less digits than its factorization.

631234460010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73708.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 631234460010 its reverse (10064432136), we get a palindrome (641298892146).

The spelling of 631234460010 in words is "six hundred thirty-one billion, two hundred thirty-four million, four hundred sixty thousand, ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 3917 7834 11751 19585 23502 27419 39170 43087 54838 58755 69763 82257 86174 117510 129261 137095 139526 164514 209289 215435 258522 274190 301609 348815 411285 418578 430870 488341 603218 646305 697630 767393 822570 904827 976682 1046445 1292610 1465023 1508045 1534786 1809654 2092890 2302179 2441705 2930046 3016090 3836965 4524135 4604358 4883410 5371751 7325115 7673930 9048270 10743502 11510895 14650230 16115253 23021790 26858755 32230506 53717510 80576265 161152530 273261671 546523342 819785013 1366308355 1639570026 1912831697 2732616710 3005878381 3825663394 4098925065 5738495091 6011756762 8197850130 9017635143 9564158485 11476990182 15029391905 18035270286 19128316970 21041148667 28692475455 30058783810 42082297334 45088175715 57384950910 63123446001 90176351430 105205743335 126246892002 210411486670 315617230005 631234460010