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38913098091360 = 2535172280515413
BaseRepresentation
bin10001101100100001010010…
…11000111000101101100000
312002210001111201020020002120
420312100221120320231200
520100023011102410420
6214432232552144240
711124243563206323
oct1066205130705540
9162701451206076
1038913098091360
1111442a52456a79
124445751998080
1318936492b700c
149875927d27ba
154773440e6d40
hex236429638b60

38913098091360 has 144 divisors (see below), whose sum is σ = 130210766932176. Its totient is φ = 9766424584192.

The previous prime is 38913098091353. The next prime is 38913098091383. The reversal of 38913098091360 is 6319089031983.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 38913098091294 and 38913098091303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140118987 + ... + 140396426.

It is an arithmetic number, because the mean of its divisors is an integer number (904241437029).

Almost surely, 238913098091360 is an apocalyptic number.

38913098091360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38913098091360 is an abundant number, since it is smaller than the sum of its proper divisors (91297668840816).

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

38913098091360 is a wasteful number, since it uses less digits than its factorization.

38913098091360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280515465 (or 280515440 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 60.

The spelling of 38913098091360 in words is "thirty-eight trillion, nine hundred thirteen billion, ninety-eight million, ninety-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 289 340 408 480 510 544 578 680 816 867 1020 1156 1360 1445 1632 1734 2040 2312 2720 2890 3468 4080 4335 4624 5780 6936 8160 8670 9248 11560 13872 17340 23120 27744 34680 46240 69360 138720 280515413 561030826 841546239 1122061652 1402577065 1683092478 2244123304 2805154130 3366184956 4207731195 4488246608 4768762021 5610308260 6732369912 8415462390 8976493216 9537524042 11220616520 13464739824 14306286063 16830924780 19075048084 22441233040 23843810105 26929479648 28612572126 33661849560 38150096168 44882466080 47687620210 57225144252 67323699120 71531430315 76300192336 81068954357 95375240420 114450288504 134647398240 143062860630 152600384672 162137908714 190750480840 228900577008 243206863071 286125721260 324275817428 381500961680 405344771785 457801154016 486413726142 572251442520 648551634856 763001923360 810689543570 972827452284 1144502885040 1216034315355 1297103269712 1621379087140 1945654904568 2289005770080 2432068630710 2594206539424 3242758174280 3891309809136 4864137261420 6485516348560 7782619618272 9728274522840 12971032697120 19456549045680 38913098091360