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26075144042140 = 22561127409341117
BaseRepresentation
bin1011110110111000101111…
…01100101011011010011100
310102022202111121202220122211
411323130113230223122130
511404203343333322030
6131242431130450204
75330603243244124
oct573342754533234
9112282447686584
1026075144042140
118343452041556
122b11654b93964
131171b4c710b9b
14662087cdbc84
1530341ad3a12a
hex17b717b2b69c

26075144042140 has 96 divisors (see below), whose sum is σ = 56108772808704. Its totient is φ = 10175558722560.

The previous prime is 26075144042137. The next prime is 26075144042249. The reversal of 26075144042140 is 4124044157062.

It is a junction number, because it is equal to n+sod(n) for n = 26075144042093 and 26075144042102.

It is a congruent number.

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, 634148862 + ... + 634189978.

It is an arithmetic number, because the mean of its divisors is an integer number (584466383424).

Almost surely, 226075144042140 is an apocalyptic number.

26075144042140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26075144042140 is an abundant number, since it is smaller than the sum of its proper divisors (30033628766564).

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

26075144042140 is a wasteful number, since it uses less digits than its factorization.

26075144042140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45407 (or 45405 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 26075144042140 in words is "twenty-six trillion, seventy-five billion, one hundred forty-four million, forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 61 122 127 244 254 305 508 610 635 1220 1270 2540 4093 7747 8186 15494 16372 20465 30988 38735 40930 41117 77470 81860 82234 154940 164468 205585 249673 411170 499346 519811 822340 998692 1039622 1248365 2079244 2496730 2508137 2599055 4993460 5016274 5198110 5221859 10032548 10396220 10443718 12540685 20887436 25081370 26109295 31708471 50162740 52218590 63416942 104437180 126833884 158542355 168291881 317084710 318533399 336583762 634169420 637066798 673167524 841459405 1274133596 1592666995 1682918810 3185333990 3365837620 6370667980 10265804741 20531609482 21373068887 41063218964 42746137774 51329023705 85492275548 102658047410 106865344435 205316094820 213730688870 427461377740 1303757202107 2607514404214 5215028808428 6518786010535 13037572021070 26075144042140