Search a number
-
+
213350642156640 = 25351726145912029
BaseRepresentation
bin110000100000101010010001…
…001111010000010001100000
31000222102010022002012201112010
4300200222101033100101200
5210431014103343003030
62033431533144232520
762640034542253242
oct6040522117202140
91028363262181463
10213350642156640
1161a8655450415a
121bb1894a46b740
139207b57881851
143a983248ba092
15199eb16d236b0
hexc20a913d0460

213350642156640 has 96 divisors (see below), whose sum is σ = 711587141808480. Its totient is φ = 53546827833344.

The previous prime is 213350642156573. The next prime is 213350642156677. The reversal of 213350642156640 is 46651246053312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 213350642156640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13072947855 + ... + 13072964174.

It is an arithmetic number, because the mean of its divisors is an integer number (7412366060505).

Almost surely, 2213350642156640 is an apocalyptic number.

213350642156640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213350642156640 is an abundant number, since it is smaller than the sum of its proper divisors (498236499651840).

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

213350642156640 is a wasteful number, since it uses less digits than its factorization.

213350642156640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26145912064 (or 26145912056 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 213350642156640 in words is "two hundred thirteen trillion, three hundred fifty billion, six hundred forty-two million, one hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 26145912029 52291824058 78437736087 104583648116 130729560145 156875472174 209167296232 261459120290 313750944348 392188680435 418334592464 444480504493 522918240580 627501888696 784377360870 836669184928 888961008986 1045836481160 1255003777392 1333441513479 1568754721740 1777922017972 2091672962320 2222402522465 2510007554784 2666883026958 3137509443480 3555844035944 4183345924640 4444805044930 5333766053916 6275018886960 6667207567395 7111688071888 8889610089860 10667532107832 12550037773920 13334415134790 14223376143776 17779220179720 21335064215664 26668830269580 35558440359440 42670128431328 53337660539160 71116880718880 106675321078320 213350642156640