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211504215420 = 22335616420893
BaseRepresentation
bin1100010011111010100…
…0100011010101111100
3202012221002111101021000
43010332220203111330
511431130034343140
6241055205210300
721165162111441
oct3047650432574
9665832441230
10211504215420
1181775685553
1234ba8400990
1316c38846534
14a345d239c8
15577d410a30
hex313ea2357c

211504215420 has 96 divisors (see below), whose sum is σ = 668800319040. Its totient is φ = 55476506880.

The previous prime is 211504215407. The next prime is 211504215487. The reversal of 211504215420 is 24512405112.

It is a happy number.

211504215420 is a `hidden beast` number, since 2 + 1 + 1 + 504 + 2 + 154 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3177507 + ... + 3243386.

It is an arithmetic number, because the mean of its divisors is an integer number (6966669990).

Almost surely, 2211504215420 is an apocalyptic number.

211504215420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211504215420 is an abundant number, since it is smaller than the sum of its proper divisors (457296103620).

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

211504215420 is a wasteful number, since it uses less digits than its factorization.

211504215420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6420972 (or 6420964 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 211504215420 in words is "two hundred eleven billion, five hundred four million, two hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 540 549 610 732 915 1098 1220 1647 1830 2196 2745 3294 3660 5490 6588 8235 10980 16470 32940 6420893 12841786 19262679 25683572 32104465 38525358 57788037 64208930 77050716 96313395 115576074 128417860 173364111 192626790 231152148 288940185 346728222 385253580 391674473 577880370 693456444 783348946 866820555 1155760740 1175023419 1566697892 1733641110 1958372365 2350046838 3467282220 3525070257 3916744730 4700093676 5875117095 7050140514 7833489460 10575210771 11750234190 14100281028 17625351285 21150421542 23500468380 35250702570 42300843084 52876053855 70501405140 105752107710 211504215420