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2920369008 = 2431914921491
BaseRepresentation
bin1010111000010001…
…0100101101110000
321112112012010011010
42232010110231300
521440103302013
61201441350520
7132240504234
oct25604245560
97475163133
102920369008
111269521507
12696038440
133770530cb
141d9bd85c4
151215b47c3
hexae114b70

2920369008 has 80 divisors (see below), whose sum is σ = 7995024000. Its totient is φ = 915989760.

The previous prime is 2920368973. The next prime is 2920369013. The reversal of 2920369008 is 8009630292.

It is a congruent number.

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, 125143 + ... + 146633.

It is an arithmetic number, because the mean of its divisors is an integer number (99937800).

Almost surely, 22920369008 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 2920369008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997512000).

2920369008 is an abundant number, since it is smaller than the sum of its proper divisors (5074654992).

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

2920369008 is a wasteful number, since it uses less digits than its factorization.

2920369008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21670 (or 21664 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 2920369008 is about 54040.4386362657. The cubic root of 2920369008 is about 1429.3741059328.

The spelling of 2920369008 in words is "two billion, nine hundred twenty million, three hundred sixty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 149 152 228 298 304 447 456 596 894 912 1192 1788 2384 2831 3576 5662 7152 8493 11324 16986 21491 22648 33972 42982 45296 64473 67944 85964 128946 135888 171928 257892 343856 408329 515784 816658 1031568 1224987 1633316 2449974 3202159 3266632 4899948 6404318 6533264 9606477 9799896 12808636 19212954 19599792 25617272 38425908 51234544 60841021 76851816 121682042 153703632 182523063 243364084 365046126 486728168 730092252 973456336 1460184504 2920369008