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2093374464 = 21035771181
BaseRepresentation
bin111110011000110…
…0101110000000000
312101220001102220120
41330301211300000
513241400440324
6543420140240
7102606250356
oct17461456000
95356042816
102093374464
11984723245
124a5097680
1327490b21c
1415c0437d6
15c3ba9179
hex7cc65c00

2093374464 has 88 divisors (see below), whose sum is σ = 5594008848. Its totient is φ = 695992320.

The previous prime is 2093374453. The next prime is 2093374487. The reversal of 2093374464 is 4644733902.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1771954 + ... + 1773134.

Almost surely, 22093374464 is an apocalyptic number.

2093374464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2093374464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797004424).

2093374464 is an abundant number, since it is smaller than the sum of its proper divisors (3500634384).

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

2093374464 is a wasteful number, since it uses less digits than its factorization.

2093374464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 2093374464 is about 45753.4093155909. The cubic root of 2093374464 is about 1279.2309964208.

The spelling of 2093374464 in words is "two billion, ninety-three million, three hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 577 768 1024 1154 1181 1536 1731 2308 2362 3072 3462 3543 4616 4724 6924 7086 9232 9448 13848 14172 18464 18896 27696 28344 36928 37792 55392 56688 73856 75584 110784 113376 147712 151168 221568 226752 295424 302336 443136 453504 590848 604672 681437 886272 907008 1209344 1362874 1772544 1814016 2044311 2725748 3628032 4088622 5451496 8177244 10902992 16354488 21805984 32708976 43611968 65417952 87223936 130835904 174447872 261671808 348895744 523343616 697791488 1046687232 2093374464