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1213215323264 = 2776720209477
BaseRepresentation
bin10001101001111001010…
…001001011010010000000
311021222112001200002102122
4101221321101023102000
5124334131110321024
62325202102503412
7153436415045210
oct21517121132200
94258461602378
101213215323264
1142858147005a
12177167434b68
138a53747a509
1442a11704240
1521859ec1d5e
hex11a7944b480

1213215323264 has 64 divisors (see below), whose sum is σ = 2803458788160. Its totient is φ = 512188959744.

The previous prime is 1213215323261. The next prime is 1213215323329. The reversal of 1213215323264 is 4623235123121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×12132153232642 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1213215323261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10044707 + ... + 10164770.

It is an arithmetic number, because the mean of its divisors is an integer number (43804043565).

Almost surely, 21213215323264 is an apocalyptic number.

1213215323264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1213215323264 is an abundant number, since it is smaller than the sum of its proper divisors (1590243464896).

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

1213215323264 is an equidigital number, since it uses as much as digits as its factorization.

1213215323264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20209565 (or 20209553 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The spelling of 1213215323264 in words is "one trillion, two hundred thirteen billion, two hundred fifteen million, three hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 268 448 469 536 896 938 1072 1876 2144 3752 4288 7504 8576 15008 30016 60032 20209477 40418954 80837908 141466339 161675816 282932678 323351632 565865356 646703264 1131730712 1293406528 1354034959 2263461424 2586813056 2708069918 4526922848 5416139836 9053845696 9478244713 10832279672 18107691392 18956489426 21664559344 37912978852 43329118688 75825957704 86658237376 151651915408 173316474752 303303830816 606607661632 1213215323264