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126241630764 = 2231922710212389
BaseRepresentation
bin111010110010010010…
…1100110101000101100
3110001211222220022021020
41311210211212220230
54032020324141024
6133554500134140
712056246104434
oct1654445465054
9401758808236
10126241630764
11495a2122757
1220572097350
13bb9b355302
1461782932c4
15343ce1c979
hex1d64966a2c

126241630764 has 96 divisors (see below), whose sum is σ = 311868614400. Its totient is φ = 39634686720.

The previous prime is 126241630759. The next prime is 126241630771. The reversal of 126241630764 is 467036142621.

It is a happy number.

It is a super-2 number, since 2×1262416307642 (a number of 23 digits) contains 22 as substring.

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, 52841682 + ... + 52844070.

It is an arithmetic number, because the mean of its divisors is an integer number (3248631400).

Almost surely, 2126241630764 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 126241630764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155934307200).

126241630764 is an abundant number, since it is smaller than the sum of its proper divisors (185626983636).

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

126241630764 is a wasteful number, since it uses less digits than its factorization.

126241630764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 126241630764 in words is "one hundred twenty-six billion, two hundred forty-one million, six hundred thirty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 227 228 454 681 908 1021 1362 2042 2389 2724 3063 4084 4313 4778 6126 7167 8626 9556 12252 12939 14334 17252 19399 25878 28668 38798 45391 51756 58197 77596 90782 116394 136173 181564 231767 232788 272346 463534 542303 544692 695301 927068 1084606 1390602 1626909 2169212 2439169 2781204 3253818 4403573 4878338 6507636 7317507 8807146 9756676 10303757 13210719 14635014 17614292 20607514 26421438 29270028 30911271 41215028 46344211 52842876 61822542 92688422 123645084 139032633 185376844 278065266 553691363 556130532 1107382726 1661074089 2214765452 3322148178 6644296356 10520135897 21040271794 31560407691 42080543588 63120815382 126241630764