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213655545350640 = 24335175818506137
BaseRepresentation
bin110000100101000110001110…
…111000101000100111110000
31001000111021022022100210222000
4300211012032320220213300
5211001013024102210030
62034224000314014000
763001050405533061
oct6045061670504760
91030437268323860
10213655545350640
11620938983a86a8
121bb67a61a17300
13922a829476283
143aa8daacc0568
1519a7a0ebb5860
hexc2518ee289f0

213655545350640 has 160 divisors (see below), whose sum is σ = 779214342000960. Its totient is φ = 53623352549376.

The previous prime is 213655545350627. The next prime is 213655545350669. The reversal of 213655545350640 is 46053545556312.

213655545350640 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 5 + 5 + 545 + 3 + 50 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2909216349 + ... + 2909289788.

It is an arithmetic number, because the mean of its divisors is an integer number (4870089637506).

Almost surely, 2213655545350640 is an apocalyptic number.

213655545350640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213655545350640 is an abundant number, since it is smaller than the sum of its proper divisors (565558796650320).

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

213655545350640 is a wasteful number, since it uses less digits than its factorization.

213655545350640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818506176 (or 5818506164 counting only the distinct ones).

The product of its (nonzero) digits is 32400000, while the sum is 54.

The spelling of 213655545350640 in words is "two hundred thirteen trillion, six hundred fifty-five billion, five hundred forty-five million, three hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4080 4590 6120 7344 9180 12240 18360 36720 5818506137 11637012274 17455518411 23274024548 29092530685 34911036822 46548049096 52366555233 58185061370 69822073644 87277592055 93096098192 98914604329 104733110466 116370122740 139644147288 157099665699 174555184110 197829208658 209466220932 232740245480 261832776165 279288294576 296743812987 314199331398 349110368220 395658417316 418932441864 465480490960 494573021645 523665552330 593487625974 628398662796 698220736440 785498328495 791316834632 837864883728 890231438961 989146043290 1047331104660 1186975251948 1256797325592 1396441472880 1483719064935 1570996656990 1582633669264 1780462877922 1978292086580 2094662209320 2373950503896 2513594651184 2670694316883 2967438129870 3141993313980 3560925755844 3956584173160 4189324418640 4451157194805 4747901007792 5341388633766 5934876259740 6283986627960 7121851511688 7913168346320 8902314389610 10682777267532 11869752519480 12567973255920 13353471584415 14243703023376 17804628779220 21365554535064 23739505038960 26706943168830 35609257558440 42731109070128 53413886337660 71218515116880 106827772675320 213655545350640