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126066568704 = 2931739712161
BaseRepresentation
bin111010101101000100…
…1110010111000000000
3110001101210111020021020
41311122021302320000
54031141020144304
6133525244025440
712052022103426
oct1653211627000
9401353436236
10126066568704
1149512322a6a
1220523532280
13bb70cbcbab
14615cd23116
15342c88c5d9
hex1d5a272e00

126066568704 has 160 divisors (see below), whose sum is σ = 356530100256. Its totient is φ = 39447429120.

The previous prime is 126066568699. The next prime is 126066568763. The reversal of 126066568704 is 407865660621.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10360384 + ... + 10372544.

Almost surely, 2126066568704 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 126066568704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178265050128).

126066568704 is an abundant number, since it is smaller than the sum of its proper divisors (230463531552).

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

126066568704 is a wasteful number, since it uses less digits than its factorization.

126066568704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12596 (or 12580 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 126066568704 in words is "one hundred twenty-six billion, sixty-six million, five hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 397 408 512 544 768 794 816 1088 1191 1536 1588 1632 2176 2382 3176 3264 4352 4764 6352 6528 6749 8704 9528 12161 12704 13056 13498 19056 20247 24322 25408 26112 26996 36483 38112 40494 48644 50816 53992 72966 76224 80988 97288 101632 107984 145932 152448 161976 194576 203264 206737 215968 291864 304896 323952 389152 413474 431936 583728 609792 620211 647904 778304 826948 863872 1167456 1240422 1295808 1556608 1653896 1727744 2334912 2480844 2591616 3113216 3307792 3455488 4669824 4827917 4961688 5183232 6226432 6615584 9339648 9655834 9923376 10366464 13231168 14483751 18679296 19311668 19846752 26462336 28967502 38623336 39693504 52924672 57935004 77246672 79387008 82074589 105849344 115870008 154493344 158774016 164149178 231740016 246223767 308986688 317548032 328298356 463480032 492447534 617973376 656596712 926960064 984895068 1235946752 1313193424 1853920128 1969790136 2471893504 2626386848 3707840256 3939580272 5252773696 7415680512 7879160544 10505547392 15758321088 21011094784 31516642176 42022189568 63033284352 126066568704