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3886374537144 = 2333112477660347
BaseRepresentation
bin111000100011011101111…
…110010100011110111000
3111202112102010100010111000
4320203131332110132320
51002133243340142034
612133213102005000
7550531661340111
oct70433576243670
914675363303430
103886374537144
111269225121670
12529256b76760
13222639474948
14d615c85d208
156b160971599
hex388ddf947b8

3886374537144 has 128 divisors (see below), whose sum is σ = 11781664876800. Its totient is φ = 1177212021120.

The previous prime is 3886374537119. The next prime is 3886374537151. The reversal of 3886374537144 is 4417354736883.

3886374537144 is a `hidden beast` number, since 3 + 8 + 8 + 6 + 37 + 453 + 7 + 144 = 666.

It is a super-2 number, since 2×38863745371442 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 5555179 + ... + 6215525.

It is an arithmetic number, because the mean of its divisors is an integer number (92044256850).

Almost surely, 23886374537144 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 3886374537144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5890832438400).

3886374537144 is an abundant number, since it is smaller than the sum of its proper divisors (7895290339656).

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

3886374537144 is a wasteful number, since it uses less digits than its factorization.

3886374537144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662850 (or 662840 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 3886374537144 in words is "three trillion, eight hundred eighty-six billion, three hundred seventy-four million, five hundred thirty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 2477 4954 7431 9908 14862 19816 22293 27247 29724 44586 54494 59448 66879 81741 89172 108988 133758 163482 178344 217976 245223 267516 326964 490446 535032 653928 660347 735669 980892 1320694 1471338 1961784 1981041 2641388 2942676 3962082 5282776 5885352 5943123 7263817 7924164 11886246 14527634 15848328 17829369 21791451 23772492 29055268 35658738 43582902 47544984 58110536 65374353 71317476 87165804 130748706 142634952 174331608 196123059 261497412 392246118 522994824 784492236 1568984472 1635679519 3271359038 4907038557 6542718076 9814077114 13085436152 14721115671 17992474709 19628154228 29442231342 35984949418 39256308456 44163347013 53977424127 58884462684 71969898836 88326694026 107954848254 117768925368 143939797672 161932272381 176653388052 215909696508 323864544762 353306776104 431819393016 485796817143 647729089524 971593634286 1295458179048 1943187268572 3886374537144