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36077142080 = 265716398809
BaseRepresentation
bin100001100110010111…
…011000000001000000
310110010021111201002102
4201212113120001000
51042341222021310
624323522205532
72415011435150
oct414627300100
9113107451072
1036077142080
1114333673901
126baa1b38a8
13352c430465
141a635b8760
15e123ed8a5
hex8665d8040

36077142080 has 112 divisors (see below), whose sum is σ = 98784704640. Its totient is φ = 12293296128.

The previous prime is 36077142077. The next prime is 36077142089. The reversal of 36077142080 is 8024177063.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (36077142089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315716 + ... + 414524.

Almost surely, 236077142080 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 36077142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49392352320).

36077142080 is an abundant number, since it is smaller than the sum of its proper divisors (62707562560).

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

36077142080 is a wasteful number, since it uses less digits than its factorization.

36077142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98996 (or 98986 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 36077142080 in words is "thirty-six billion, seventy-seven million, one hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 163 224 280 320 326 448 560 652 815 1120 1141 1304 1630 2240 2282 2608 3260 4564 5216 5705 6520 9128 10432 11410 13040 18256 22820 26080 36512 45640 52160 73024 91280 98809 182560 197618 365120 395236 494045 691663 790472 988090 1383326 1580944 1976180 2766652 3161888 3458315 3952360 5533304 6323776 6916630 7904720 11066608 13833260 15809440 16105867 22133216 27666520 31618880 32211734 44266432 55333040 64423468 80529335 110666080 112741069 128846936 161058670 221332160 225482138 257693872 322117340 450964276 515387744 563705345 644234680 901928552 1030775488 1127410690 1288469360 1803857104 2254821380 2576938720 3607714208 4509642760 5153877440 7215428416 9019285520 18038571040 36077142080