Search a number
-
+
22676832215760 = 2435194972989521
BaseRepresentation
bin1010010011111110111001…
…00001110110001011010000
32222021212212102112101001210
411021333130201312023100
510433014123021401020
6120121332022300120
74530230020314012
oct511773441661320
988255772471053
1022676832215760
117253210669298
122662b09287640
13c8655423b268
145857c912a1b2
15294d230173e0
hex149fdc8762d0

22676832215760 has 80 divisors (see below), whose sum is σ = 73998084087360. Its totient is φ = 5728883927040.

The previous prime is 22676832215749. The next prime is 22676832215797. The reversal of 22676832215760 is 6751223867622.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 22676832215760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2486490201 + ... + 2486499320.

It is an arithmetic number, because the mean of its divisors is an integer number (924976051092).

Almost surely, 222676832215760 is an apocalyptic number.

22676832215760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22676832215760 is an abundant number, since it is smaller than the sum of its proper divisors (51321251871600).

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

22676832215760 is a wasteful number, since it uses less digits than its factorization.

22676832215760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972989556 (or 4972989550 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 22676832215760 in words is "twenty-two trillion, six hundred seventy-six billion, eight hundred thirty-two million, two hundred fifteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 4972989521 9945979042 14918968563 19891958084 24864947605 29837937126 39783916168 49729895210 59675874252 74594842815 79567832336 94486800899 99459790420 119351748504 149189685630 188973601798 198919580840 238703497008 283460402697 298379371260 377947203596 397839161680 472434004495 566920805394 596758742520 755894407192 944868008990 1133841610788 1193517485040 1417302013485 1511788814384 1889736017980 2267683221576 2834604026970 3779472035960 4535366443152 5669208053940 7558944071920 11338416107880 22676832215760