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21216044041020 = 22325853941146843
BaseRepresentation
bin1001101001011101111101…
…10001001100001100111100
32210010020022120212100100200
410310232332301030030330
510240100424233303040
6113042303250123500
74316544230563503
oct464567661141474
983106276770320
1021216044041020
11683a74583a664
12246798a280590
13bab88380492a
14534c0d4dd83a
1526bd28366630
hex134bbec4c33c

21216044041020 has 144 divisors (see below), whose sum is σ = 64499689249632. Its totient is φ = 5644935406080.

The previous prime is 21216044041019. The next prime is 21216044041063. The reversal of 21216044041020 is 2014044061212.

21216044041020 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 604 + 40 + 4 + 10 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144407719 + ... + 144554561.

It is an arithmetic number, because the mean of its divisors is an integer number (447914508678).

Almost surely, 221216044041020 is an apocalyptic number.

21216044041020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21216044041020 is an abundant number, since it is smaller than the sum of its proper divisors (43283645208612).

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

21216044041020 is a wasteful number, since it uses less digits than its factorization.

21216044041020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148652 (or 148647 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 21216044041020 in words is "twenty-one trillion, two hundred sixteen billion, forty-four million, forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 853 941 1706 1882 2559 2823 3412 3764 4265 4705 5118 5646 7677 8469 8530 9410 10236 11292 12795 14115 15354 16938 17060 18820 25590 28230 30708 33876 38385 42345 51180 56460 76770 84690 146843 153540 169380 293686 440529 587372 734215 802673 881058 1321587 1468430 1605346 1762116 2202645 2408019 2643174 2936860 3210692 4013365 4405290 4816038 5286348 6607935 7224057 8026730 8810580 9632076 12040095 13215870 14448114 16053460 24080190 26431740 28896228 36120285 48160380 72240570 125257079 138179263 144481140 250514158 276358526 375771237 414537789 501028316 552717052 626285395 690896315 751542474 829075578 1127313711 1243613367 1252570790 1381792630 1503084948 1658151156 1878856185 2072688945 2254627422 2487226734 2505141580 2763585260 3757712370 4145377890 4509254844 4974453468 5636568555 6218066835 7515424740 8290755780 11273137110 12436133670 22546274220 24872267340 117866911339 235733822678 353600734017 471467645356 589334556695 707201468034 1060802202051 1178669113390 1414402936068 1768003670085 2121604404102 2357338226780 3536007340170 4243208808204 5304011010255 7072014680340 10608022020510 21216044041020