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213435868408 = 23737412512429
BaseRepresentation
bin1100011011000111000…
…1001110010011111000
3202101220201020112000021
43012301301032103320
511444104040242113
6242015011220224
721264065643010
oct3066161162370
9671821215007
10213435868408
1182576a8aa84
12354472a7674
1317185ab0579
14a48a6aac40
155842cc248d
hex31b1c4e4f8

213435868408 has 64 divisors (see below), whose sum is σ = 481180593600. Its totient is φ = 86829511680.

The previous prime is 213435868381. The next prime is 213435868447. The reversal of 213435868408 is 804868534312.

213435868408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1171263 + ... + 1341166.

It is an arithmetic number, because the mean of its divisors is an integer number (7518446775).

Almost surely, 2213435868408 is an apocalyptic number.

213435868408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

213435868408 is an abundant number, since it is smaller than the sum of its proper divisors (267744725192).

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

213435868408 is a wasteful number, since it uses less digits than its factorization.

213435868408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512520 (or 2512516 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 52.

The spelling of 213435868408 in words is "two hundred thirteen billion, four hundred thirty-five million, eight hundred sixty-eight thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 28 37 41 56 74 82 148 164 259 287 296 328 518 574 1036 1148 1517 2072 2296 3034 6068 10619 12136 21238 42476 84952 2512429 5024858 10049716 17587003 20099432 35174006 70348012 92959873 103009589 140696024 185919746 206019178 371839492 412038356 650719111 721067123 743678984 824076712 1301438222 1442134246 2602876444 2884268492 3811354793 5205752888 5768536984 7622709586 15245419172 26679483551 30490838344 53358967102 106717934204 213435868408