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4216922388480 = 21135137269609
BaseRepresentation
bin111101010111010100001…
…010010011100000000000
3112221010121120102210100110
4331113110022103200000
51023042224112412410
612545121041351320
7613443160613514
oct75272412234000
915833546383313
104216922388480
11138642883179a
12581326938540
13247867005b19
14108158a9a144
1574a59dc5720
hex3d5d4293800

4216922388480 has 96 divisors (see below), whose sum is σ = 13490857270800. Its totient is φ = 1124512628736.

The previous prime is 4216922388473. The next prime is 4216922388487. The reversal of 4216922388480 is 848832296124.

It is an interprime number because it is at equal distance from previous prime (4216922388473) and next prime (4216922388487).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4216922388480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4216922388487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68604085 + ... + 68665524.

Almost surely, 24216922388480 is an apocalyptic number.

4216922388480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4216922388480 is an abundant number, since it is smaller than the sum of its proper divisors (9273934882320).

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

4216922388480 is a wasteful number, since it uses less digits than its factorization.

4216922388480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137269639 (or 137269619 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The spelling of 4216922388480 in words is "four trillion, two hundred sixteen billion, nine hundred twenty-two million, three hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 137269609 274539218 411808827 549078436 686348045 823617654 1098156872 1372696090 1647235308 2059044135 2196313744 2745392180 3294470616 4118088270 4392627488 5490784360 6588941232 8236176540 8785254976 10981568720 13177882464 16472353080 17570509952 21963137440 26355764928 32944706160 35141019904 43926274880 52711529856 65889412320 70282039808 87852549760 105423059712 131778824640 140564079616 175705099520 210846119424 263557649280 281128159232 351410199040 421692238848 527115298560 702820398080 843384477696 1054230597120 1405640796160 2108461194240 4216922388480