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1991732064 = 253729102203
BaseRepresentation
bin111011010110111…
…0110101101100000
312010210210110202020
41312231312231200
513034340411224
6525345421440
7100233305010
oct16655665540
95123713666
101991732064
1193230a863
1247703a880
13259840caa
1414c745c40
15b9cccc79
hex76b76b60

1991732064 has 96 divisors (see below), whose sum is σ = 6181297920. Its totient is φ = 549437952.

The previous prime is 1991732063. The next prime is 1991732107. The reversal of 1991732064 is 4602371991.

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

It is a super-2 number, since 2×19917320642 = 7933993229531400192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1991732063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31614 + ... + 70589.

It is an arithmetic number, because the mean of its divisors is an integer number (64388520).

Almost surely, 21991732064 is an apocalyptic number.

1991732064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1991732064 is an abundant number, since it is smaller than the sum of its proper divisors (4189565856).

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

1991732064 is a wasteful number, since it uses less digits than its factorization.

1991732064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102252 (or 102244 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 1991732064 is about 44628.8254830888. The cubic root of 1991732064 is about 1258.1824942107.

The spelling of 1991732064 in words is "one billion, nine hundred ninety-one million, seven hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 6496 9744 19488 102203 204406 306609 408812 613218 715421 817624 1226436 1430842 1635248 2146263 2452872 2861684 2963887 3270496 4292526 4905744 5723368 5927774 8585052 8891661 9811488 11446736 11855548 17170104 17783322 20747209 22893472 23711096 34340208 35566644 41494418 47422192 62241627 68680416 71133288 82988836 94844384 124483254 142266576 165977672 248966508 284533152 331955344 497933016 663910688 995866032 1991732064