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2121606048 = 253374571307
BaseRepresentation
bin111111001110101…
…0010001110100000
312110212011202100210
41332131102032200
513321112343143
6550305214120
7103401232242
oct17635221640
95425152323
102121606048
11999656031
124b2631340
1327a7142c3
14161ab2092
15c63d4033
hex7e7523a0

2121606048 has 96 divisors (see below), whose sum is σ = 5736636864. Its totient is φ = 686057472.

The previous prime is 2121606031. The next prime is 2121606163. The reversal of 2121606048 is 8406061212.

2121606048 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1622611 + ... + 1623917.

It is an arithmetic number, because the mean of its divisors is an integer number (59756634).

Almost surely, 22121606048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121606048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868318432).

2121606048 is an abundant number, since it is smaller than the sum of its proper divisors (3615030816).

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

2121606048 is a wasteful number, since it uses less digits than its factorization.

2121606048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2121606048 is about 46060.8949978178. The cubic root of 2121606048 is about 1284.9559752161.

The spelling of 2121606048 in words is "two billion, one hundred twenty-one million, six hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 457 592 888 914 1184 1307 1371 1776 1828 2614 2742 3552 3656 3921 5228 5484 7312 7842 10456 10968 14624 15684 16909 20912 21936 31368 33818 41824 43872 48359 50727 62736 67636 96718 101454 125472 135272 145077 193436 202908 270544 290154 386872 405816 541088 580308 597299 773744 811632 1160616 1194598 1547488 1623264 1791897 2321232 2389196 3583794 4642464 4778392 7167588 9556784 14335176 19113568 22100063 28670352 44200126 57340704 66300189 88400252 132600378 176800504 265200756 353601008 530401512 707202016 1060803024 2121606048