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11842161960321 = 3371116749169467
BaseRepresentation
bin1010110001010011011111…
…0110110110010110000001
31112221002200121221220211000
42230110313312312112001
53023010221430212241
641104114125042213
72331365545553430
oct254246766662601
945832617856730
1011842161960321
11385626177a510
1213b31100b6369
1367b932326134
142cd241283117
15158096188eb6
hexac537db6581

11842161960321 has 128 divisors (see below), whose sum is σ = 22049076510720. Its totient is φ = 6102393595200.

The previous prime is 11842161960319. The next prime is 11842161960353. The reversal of 11842161960321 is 12306916124811.

11842161960321 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 2 + 1 + 6 + 19 + 603 + 21 = 666.

It is not a de Polignac number, because 11842161960321 - 21 = 11842161960319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11842161961321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 170437030 + ... + 170506496.

It is an arithmetic number, because the mean of its divisors is an integer number (172258410240).

Almost surely, 211842161960321 is an apocalyptic number.

11842161960321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11842161960321 is a deficient number, since it is larger than the sum of its proper divisors (10206914550399).

11842161960321 is a wasteful number, since it uses less digits than its factorization.

11842161960321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70152 (or 70146 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11842161960321 in words is "eleven trillion, eight hundred forty-two billion, one hundred sixty-one million, nine hundred sixty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 167 189 231 297 491 501 693 1169 1473 1503 1837 2079 3437 3507 4419 4509 5401 5511 10311 10521 12859 13257 16203 16533 30933 31563 37807 38577 48609 49599 69467 81997 92799 113421 115731 145827 208401 245991 340263 347193 486269 573979 625203 737973 764137 901967 1020789 1458807 1721937 1875609 2213919 2292411 2705901 4376421 5165811 5348959 6313769 6877233 8117703 11600989 13129263 15497433 16046877 18941307 20631699 24353109 34108297 34802967 48140631 56823921 81206923 102324891 104408901 127610879 144421893 170471763 238758079 243620769 306974673 313226703 375191267 382832637 716274237 730862307 893276153 920924019 1125573801 1148497911 2148822711 2192586921 2626338869 2679828459 3376721403 3445493733 5696085599 6446468133 7879016607 8039485377 10130164209 17088256797 23637049821 24118456131 39872599193 51264770391 62656941589 70911149463 119617797579 153794311173 187970824767 358853392737 438598591123 563912474301 1076560178211 1315795773369 1691737422903 3947387320107 11842161960321