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127192697814 = 237131074994363
BaseRepresentation
bin111011001110101000…
…1101000101111010110
3110011022021111111222210
41312131101220233112
54040442312312224
6134233112534250
712121645043610
oct1663521505726
9404267444883
10127192697814
1149a3aa64486
12207986b1386
13bcc03bb990
146228703db0
153496685429
hex1d9d468bd6

127192697814 has 128 divisors (see below), whose sum is σ = 316721664000. Its totient is φ = 33157620864.

The previous prime is 127192697789. The next prime is 127192697833. The reversal of 127192697814 is 418796291721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29150397 + ... + 29154759.

It is an arithmetic number, because the mean of its divisors is an integer number (2474388000).

Almost surely, 2127192697814 is an apocalyptic number.

127192697814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127192697814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158360832000).

127192697814 is an abundant number, since it is smaller than the sum of its proper divisors (189528966186).

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

127192697814 is a wasteful number, since it uses less digits than its factorization.

127192697814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4994.

The product of its digits is 3048192, while the sum is 57.

The spelling of 127192697814 in words is "one hundred twenty-seven billion, one hundred ninety-two million, six hundred ninety-seven thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 107 182 214 273 321 499 546 642 749 998 1391 1497 1498 2247 2782 2994 3493 4173 4363 4494 6487 6986 8346 8726 9737 10479 12974 13089 19461 19474 20958 26178 29211 30541 38922 45409 53393 56719 58422 61082 90818 91623 106786 113438 136227 160179 170157 183246 272454 320358 340314 373751 397033 466841 694109 747502 794066 933682 1121253 1191099 1388218 1400523 2082327 2177137 2242506 2382198 2801046 3267887 4164654 4354274 4858763 6068933 6531411 6535774 9717526 9803661 12137866 13062822 14576289 15239959 18206799 19607322 28302781 29152578 30479918 36413598 42482531 45719877 56605562 84908343 84965062 91439754 127447593 169816686 198119467 232953659 254895186 396238934 465907318 594358401 698860977 1188716802 1397721954 1630675613 3028397567 3261351226 4892026839 6056795134 9085192701 9784053678 18170385402 21198782969 42397565938 63596348907 127192697814