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2121399456 = 253112008901
BaseRepresentation
bin111111001110001…
…1111110010100000
312110211210020222020
41332130133302200
513321034240311
6550300541440
7103366412031
oct17634376240
95424706866
102121399456
119995248a0
124b2551880
1327a671267
14161a5aa88
15c6392c06
hex7e71fca0

2121399456 has 48 divisors (see below), whose sum is σ = 6074919648. Its totient is φ = 642848000.

The previous prime is 2121399431. The next prime is 2121399463. The reversal of 2121399456 is 6549931212.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1003395 + ... + 1005506.

It is an arithmetic number, because the mean of its divisors is an integer number (126560826).

Almost surely, 22121399456 is an apocalyptic number.

It is an amenable number.

2121399456 is an abundant number, since it is smaller than the sum of its proper divisors (3953520192).

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

2121399456 is a wasteful number, since it uses less digits than its factorization.

2121399456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008925 (or 2008917 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 2121399456 is about 46058.6523467633. The cubic root of 2121399456 is about 1284.9142662095.

The spelling of 2121399456 in words is "two billion, one hundred twenty-one million, three hundred ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2008901 4017802 6026703 8035604 12053406 16071208 22097911 24106812 32142416 44195822 48213624 64284832 66293733 88391644 96427248 132587466 176783288 192854496 265174932 353566576 530349864 707133152 1060699728 2121399456