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3826133262420 = 2235727732887513
BaseRepresentation
bin110111101011010111010…
…100000110000001010100
3111112202220210202022000220
4313223113110012001110
51000141410103344140
612045411254234340
7543300102060420
oct67532724060124
914482823668026
103826133262420
111245721530307
125196443559b0
13219a58a3b661
14d3285d21b80
15697d6e5ebd0
hex37ad7506054

3826133262420 has 96 divisors (see below), whose sum is σ = 12287827630848. Its totient is φ = 871387517952.

The previous prime is 3826133262377. The next prime is 3826133262421. The reversal of 3826133262420 is 242623316283.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3826133262421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16327417 + ... + 16560096.

It is an arithmetic number, because the mean of its divisors is an integer number (127998204488).

Almost surely, 23826133262420 is an apocalyptic number.

3826133262420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3826133262420 is an abundant number, since it is smaller than the sum of its proper divisors (8461694368428).

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

3826133262420 is a wasteful number, since it uses less digits than its factorization.

3826133262420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32887809 (or 32887807 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 3826133262420 in words is "three trillion, eight hundred twenty-six billion, one hundred thirty-three million, two hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 277 420 554 831 1108 1385 1662 1939 2770 3324 3878 4155 5540 5817 7756 8310 9695 11634 16620 19390 23268 29085 38780 58170 116340 32887513 65775026 98662539 131550052 164437565 197325078 230212591 328875130 394650156 460425182 493312695 657750260 690637773 920850364 986625390 1151062955 1381275546 1973250780 2302125910 2762551092 3453188865 4604251820 6906377730 9109841101 13812755460 18219682202 27329523303 36439364404 45549205505 54659046606 63768887707 91098411010 109318093212 127537775414 136647616515 182196822020 191306663121 255075550828 273295233030 318844438535 382613326242 546590466060 637688877070 765226652484 956533315605 1275377754140 1913066631210 3826133262420