Search a number
-
+
125631106644 = 2232310729314519
BaseRepresentation
bin111010100000000110…
…0101000111001010100
3110000021110002110121210
41311000030220321110
54024243030403034
6133414130341420
712035153533641
oct1650014507124
9400243073553
10125631106644
114930953696a
122042172a870
13bb01a13434
14611b16adc8
1534045218e9
hex1d40328e54

125631106644 has 96 divisors (see below), whose sum is σ = 309818234880. Its totient is φ = 39543779968.

The previous prime is 125631106637. The next prime is 125631106651. The reversal of 125631106644 is 446601136521.

It is an interprime number because it is at equal distance from previous prime (125631106637) and next prime (125631106651).

It is a super-2 number, since 2×1256311066442 (a number of 23 digits) contains 22 as substring.

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, 8645617 + ... + 8660135.

It is an arithmetic number, because the mean of its divisors is an integer number (3227273280).

Almost surely, 2125631106644 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 125631106644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154909117440).

125631106644 is an abundant number, since it is smaller than the sum of its proper divisors (184187128236).

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

125631106644 is a wasteful number, since it uses less digits than its factorization.

125631106644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14949 (or 14947 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 125631106644 in words is "one hundred twenty-five billion, six hundred thirty-one million, one hundred six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 107 138 214 276 293 321 428 586 642 879 1172 1284 1758 2461 3516 4922 6739 7383 9844 13478 14519 14766 20217 26956 29038 29532 31351 40434 43557 58076 62702 80868 87114 94053 125404 174228 188106 333937 376212 667874 721073 1001811 1335748 1442146 1553533 2003622 2163219 2884292 3107066 4007244 4254067 4326438 4660599 6214132 8508134 8652876 9321198 12762201 17016268 18642396 25524402 35731259 51048804 71462518 97843541 107193777 142925036 195687082 214387554 293530623 391374164 428775108 455185169 587061246 910370338 1174122492 1365555507 1820740676 2731111014 5462222028 10469258887 20938517774 31407776661 41877035548 62815553322 125631106644