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1090326399264 = 2534420650617
BaseRepresentation
bin11111101110111001000…
…01001000100100100000
310212020022201110221020000
433313130201020210200
5120330442024234024
62152520010420000
7141526206322644
oct17673441104440
93766281427200
101090326399264
1139044a911643
12157390131600
137ba818cc97b
143aab482ac24
151d5665b8cc9
hexfddc848920

1090326399264 has 60 divisors (see below), whose sum is σ = 3206619661014. Its totient is φ = 363442132224.

The previous prime is 1090326399179. The next prime is 1090326399293. The reversal of 1090326399264 is 4629936230901.

It can be written as a sum of positive squares in only one way, i.e., 1073088810000 + 17237589264 = 1035900^2 + 131292^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1090326399264.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 210322717 + ... + 210327900.

Almost surely, 21090326399264 is an apocalyptic number.

It is an amenable number.

1090326399264 is an abundant number, since it is smaller than the sum of its proper divisors (2116293261750).

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

1090326399264 is an equidigital number, since it uses as much as digits as its factorization.

1090326399264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420650639 (or 420650622 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 1090326399264 in words is "one trillion, ninety billion, three hundred twenty-six million, three hundred ninety-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 420650617 841301234 1261951851 1682602468 2523903702 3365204936 3785855553 5047807404 6730409872 7571711106 10095614808 11357566659 13460819744 15143422212 20191229616 22715133318 30286844424 34072699977 40382459232 45430266636 60573688848 68145399954 90860533272 121147377696 136290799908 181721066544 272581599816 363442133088 545163199632 1090326399264