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1991634432 = 29331151277
BaseRepresentation
bin111011010110101…
…1110111000000000
312010210121111211020
41312231132320000
513034324300212
6525343345440
7100232420244
oct16655367000
95123544736
101991634432
11932253477
12476bb2280
13259808718
1414c71c424
15b9cadd8c
hex76b5ee00

1991634432 has 160 divisors (see below), whose sum is σ = 5533169664. Its totient is φ = 635904000.

The previous prime is 1991634431. The next prime is 1991634443. The reversal of 1991634432 is 2344361991.

1991634432 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1991634431) 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, 7189878 + ... + 7190154.

Almost surely, 21991634432 is an apocalyptic number.

1991634432 is a gapful number since it is divisible by the number (12) 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 1991634432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766584832).

1991634432 is an abundant number, since it is smaller than the sum of its proper divisors (3541535232).

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

1991634432 is a wasteful number, since it uses less digits than its factorization.

1991634432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 1991634432 is about 44627.7316474857. The cubic root of 1991634432 is about 1258.1619357426.

The spelling of 1991634432 in words is "one billion, nine hundred ninety-one million, six hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 151 186 192 248 256 277 302 372 384 453 496 512 554 604 744 768 831 906 992 1108 1208 1488 1536 1662 1812 1984 2216 2416 2976 3324 3624 3968 4432 4681 4832 5952 6648 7248 7936 8587 8864 9362 9664 11904 13296 14043 14496 15872 17174 17728 18724 19328 23808 25761 26592 28086 28992 34348 35456 37448 38656 41827 47616 51522 53184 56172 57984 68696 70912 74896 77312 83654 103044 106368 112344 115968 125481 137392 141824 149792 167308 206088 212736 224688 231936 250962 274784 299584 334616 412176 425472 449376 501924 549568 599168 669232 824352 898752 1003848 1099136 1198336 1296637 1338464 1648704 1797504 2007696 2198272 2396672 2593274 2676928 3297408 3595008 3889911 4015392 4396544 5186548 5353856 6594816 7190016 7779822 8030784 10373096 10707712 13189632 15559644 16061568 20746192 21415424 31119288 32123136 41492384 62238576 64246272 82984768 124477152 165969536 248954304 331939072 497908608 663878144 995817216 1991634432