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126719038768 = 24721731306701
BaseRepresentation
bin111011000000100001…
…0110001010100110000
3110010002021020010221011
41312001002301110300
54034010033220033
6134114112440304
712104134025500
oct1660102612460
9403067203834
10126719038768
1149817659423
1220685b49094
13bc4622a25a
1461c1847a00
153469cc1ccd
hex1d810b1530

126719038768 has 120 divisors (see below), whose sum is σ = 312158841984. Its totient is φ = 49464576000.

The previous prime is 126719038723. The next prime is 126719038769. The reversal of 126719038768 is 867830917621.

It is not an unprimeable number, because it can be changed into a prime (126719038769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259818 + ... + 566518.

Almost surely, 2126719038768 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 126719038768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156079420992).

126719038768 is an abundant number, since it is smaller than the sum of its proper divisors (185439803216).

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

126719038768 is a wasteful number, since it uses less digits than its factorization.

126719038768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306771 (or 306758 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 58.

The spelling of 126719038768 in words is "one hundred twenty-six billion, seven hundred nineteen million, thirty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 31 34 49 56 62 68 98 112 119 124 136 196 217 238 248 272 392 434 476 496 527 784 833 868 952 1054 1519 1666 1736 1904 2108 3038 3332 3472 3689 4216 6076 6664 7378 8432 12152 13328 14756 24304 25823 29512 51646 59024 103292 206584 306701 413168 613402 1226804 2146907 2453608 4293814 4907216 5213917 8587628 9507731 10427834 15028349 17175256 19015462 20855668 30056698 34350512 36497419 38030924 41711336 60113396 66554117 72994838 76061848 83422672 120226792 133108234 145989676 152123696 161631427 240453584 255481933 266216468 291979352 323262854 465878819 510963866 532432936 583958704 646525708 931757638 1021927732 1064865872 1131419989 1293051416 1863515276 2043855464 2262839978 2586102832 3727030552 4087710928 4525679956 7454061104 7919939923 9051359912 15839879846 18102719824 31679759692 63359519384 126719038768