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18764022240 = 2532531420341
BaseRepresentation
bin10001011110011011…
…000100000111100000
31210102200211002111200
4101132123010013200
5301412042202430
612341534041200
71232663362125
oct213633040740
953380732450
1018764022240
117a5988a6a7
123778049200
131a005c7652
14ca00ac74c
1574c4c5460
hex45e6c41e0

18764022240 has 144 divisors (see below), whose sum is σ = 66097938816. Its totient is φ = 4842316800.

The previous prime is 18764022217. The next prime is 18764022247. The reversal of 18764022240 is 4222046781.

18764022240 is a `hidden beast` number, since 1 + 8 + 7 + 6 + 402 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18764022195 and 18764022204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18764022247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165531 + ... + 254810.

It is an arithmetic number, because the mean of its divisors is an integer number (459013464).

Almost surely, 218764022240 is an apocalyptic number.

18764022240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18764022240 is an abundant number, since it is smaller than the sum of its proper divisors (47333916576).

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

18764022240 is a wasteful number, since it uses less digits than its factorization.

18764022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420393 (or 420382 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 18764022240 in words is "eighteen billion, seven hundred sixty-four million, twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 11160 14880 22320 44640 420341 840682 1261023 1681364 2101705 2522046 3362728 3783069 4203410 5044092 6305115 6725456 7566138 8406820 10088184 12610230 13030571 13450912 15132276 16813640 18915345 20176368 25220460 26061142 30264552 33627280 37830690 39091713 40352736 50440920 52122284 60529104 65152855 67254560 75661380 78183426 100881840 104244568 117275139 121058208 130305710 151322760 156366852 195458565 201763680 208489136 234550278 260611420 302645520 312733704 390917130 416978272 469100556 521222840 586375695 605291040 625467408 781834260 938201112 1042445680 1172751390 1250934816 1563668520 1876402224 2084891360 2345502780 3127337040 3752804448 4691005560 6254674080 9382011120 18764022240