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213238767640 = 23517613351131
BaseRepresentation
bin1100011010011000000…
…1010110000000011000
3202101101222100202120211
43012212001112000120
511443203111031030
6241543250500504
721256153422133
oct3064601260030
9671358322524
10213238767640
11824857a8288
12353b1294734
1317153cccab2
14a46c44121a
15583083c12a
hex31a6056018

213238767640 has 64 divisors (see below), whose sum is σ = 508102774560. Its totient is φ = 80263464960.

The previous prime is 213238767629. The next prime is 213238767661. The reversal of 213238767640 is 46767832312.

It is a super-2 number, since 2×2132387676402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4144875 + ... + 4196005.

Almost surely, 2213238767640 is an apocalyptic number.

213238767640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213238767640 is an abundant number, since it is smaller than the sum of its proper divisors (294864006920).

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

213238767640 is a wasteful number, since it uses less digits than its factorization.

213238767640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57292 (or 57288 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

The spelling of 213238767640 in words is "two hundred thirteen billion, two hundred thirty-eight million, seven hundred sixty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 6133 12266 24532 30665 49064 51131 61330 102262 104261 122660 204524 208522 245320 255655 409048 417044 511310 521305 834088 869227 1022620 1042610 1738454 2045240 2085220 3476908 4170440 4346135 6953816 8692270 17384540 34769080 313586423 627172846 1254345692 1567932115 2508691384 3135864230 5330969191 6271728460 10661938382 12543456920 21323876764 26654845955 42647753528 53309691910 106619383820 213238767640