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1398183272704 = 2826322812
BaseRepresentation
bin10100010110001010001…
…101111010000100000000
311221122221210111111010201
4110112022031322010000
5140401434404211304
62550152211534544
7203005166504011
oct24261215720400
94848853444121
101398183272704
11499a6a009179
121a6b888ba454
13a1b0440b1ca
144b95b21b008
15265839003a4
hex1458a37a100

1398183272704 has 81 divisors (see below), whose sum is σ = 2811562480909. Its totient is φ = 693955082240.

The previous prime is 1398183272701. The next prime is 1398183272711. The reversal of 1398183272704 is 4072723818931.

The square root of 1398183272704 is 1182448.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 944877314304 + 453305958400 = 972048^2 + 673280^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1398183272701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4975741044 + ... + 4975741324.

Almost surely, 21398183272704 is an apocalyptic number.

1398183272704 is the 1182448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1398183272704

1398183272704 is an abundant number, since it is smaller than the sum of its proper divisors (1413379208205).

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

1398183272704 is an frugal number, since it uses more digits than its factorization.

1398183272704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 1398183272704 in words is "one trillion, three hundred ninety-eight billion, one hundred eighty-three million, two hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 263 281 526 562 1052 1124 2104 2248 4208 4496 8416 8992 16832 17984 33664 35968 67328 69169 71936 73903 78961 138338 147806 157922 276676 295612 315844 553352 591224 631688 1106704 1182448 1263376 2213408 2364896 2526752 4426816 4729792 5053504 8853632 9459584 10107008 17707264 18919168 19436489 20214016 20766743 38872978 41533486 77745956 83066972 155491912 166133944 310983824 332267888 621967648 664535776 1243935296 1329071552 2487870592 2658143104 4975741184 5316286208 5461653409 10923306818 21846613636 43693227272 87386454544 174772909088 349545818176 699091636352 1398183272704