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4221871786464 = 253269413939499
BaseRepresentation
bin111101011011111011001…
…010110000100111100000
3112221121101111121020222220
4331123323022300213200
51023132343134131324
612551300124231040
7614006630035323
oct75337312604740
915847344536886
104221871786464
111388538617752
1258228839b480
13248175528297
141084a81487ba
1574c49683b79
hex3d6fb2b09e0

4221871786464 has 96 divisors (see below), whose sum is σ = 11126581200000. Its totient is φ = 1401684801024.

The previous prime is 4221871786411. The next prime is 4221871786549. The reversal of 4221871786464 is 4646871781224.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4221871786398 and 4221871786407.

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, 106865787 + ... + 106905285.

It is an arithmetic number, because the mean of its divisors is an integer number (115901887500).

Almost surely, 24221871786464 is an apocalyptic number.

It is an amenable number.

4221871786464 is an abundant number, since it is smaller than the sum of its proper divisors (6904709413536).

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

4221871786464 is a wasteful number, since it uses less digits than its factorization.

4221871786464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43920 (or 43912 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 60.

The spelling of 4221871786464 in words is "four trillion, two hundred twenty-one billion, eight hundred seventy-one million, seven hundred eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 269 538 807 1076 1614 2152 3228 4139 4304 6456 8278 8608 12417 12912 16556 24834 25824 33112 39499 49668 66224 78998 99336 118497 132448 157996 198672 236994 315992 397344 473988 631984 947976 1113391 1263968 1895952 2226782 3340173 3791904 4453564 6680346 8907128 10625231 13360692 17814256 21250462 26721384 31875693 35628512 42500924 53442768 63751386 85001848 106885536 127502772 163486361 170003696 255005544 326972722 340007392 490459083 510011088 653945444 980918166 1020022176 1307890888 1961836332 2615781776 3923672664 5231563552 7847345328 15694690656 43977831109 87955662218 131933493327 175911324436 263866986654 351822648872 527733973308 703645297744 1055467946616 1407290595488 2110935893232 4221871786464