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126686858112 = 273366155457
BaseRepresentation
bin111010111111100100…
…0000000101110000000
3110010000000200012101000
41311333020000232000
54033423313424422
6134111003012000
712103263345363
oct1657710005600
9403000605330
10126686858112
1149800479641
122067720a000
13bc3c670849
1461bb46c0da
153467066cac
hex1d7f200b80

126686858112 has 128 divisors (see below), whose sum is σ = 374474599200. Its totient is φ = 42164305920.

The previous prime is 126686858099. The next prime is 126686858161. The reversal of 126686858112 is 211858686621.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2256688 + ... + 2312144.

Almost surely, 2126686858112 is an apocalyptic number.

126686858112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126686858112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187237299600).

126686858112 is an abundant number, since it is smaller than the sum of its proper divisors (247787741088).

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

126686858112 is an equidigital number, since it uses as much as digits as its factorization.

126686858112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56141 (or 56123 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 126686858112 in words is "one hundred twenty-six billion, six hundred eighty-six million, eight hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 661 864 1152 1322 1728 1983 2644 3456 3966 5288 5949 7932 10576 11898 15864 17847 21152 23796 31728 35694 42304 47592 55457 63456 71388 84608 95184 110914 126912 142776 166371 190368 221828 253824 285552 332742 380736 443656 499113 571104 665484 761472 887312 998226 1142208 1330968 1497339 1774624 1996452 2284416 2661936 2994678 3549248 3992904 5323872 5989356 7098496 7985808 10647744 11978712 15971616 21295488 23957424 31943232 36657077 47914848 63886464 73314154 95829696 109971231 146628308 191659392 219942462 293256616 329913693 439884924 586513232 659827386 879769848 989741079 1173026464 1319654772 1759539696 1979482158 2346052928 2639309544 3519079392 3958964316 4692105856 5278619088 7038158784 7917928632 10557238176 14076317568 15835857264 21114476352 31671714528 42228952704 63343429056 126686858112