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23432095320 = 2335418215801
BaseRepresentation
bin10101110100101010…
…010110011001011000
32020111000121202221020
4111310222112121120
5340442104022240
614433051042440
71456445344464
oct256452263130
966430552836
1023432095320
119a34897037
12465b440420
13229575a37a
1411c40494a4
159222130d0
hex574a96658

23432095320 has 128 divisors (see below), whose sum is σ = 72110969280. Its totient is φ = 6087680000.

The previous prime is 23432095237. The next prime is 23432095339. The reversal of 23432095320 is 2359023432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4036420 + ... + 4042220.

Almost surely, 223432095320 is an apocalyptic number.

23432095320 is a gapful number since it is divisible by the number (20) 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 23432095320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36055484640).

23432095320 is an abundant number, since it is smaller than the sum of its proper divisors (48678873960).

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

23432095320 is a wasteful number, since it uses less digits than its factorization.

23432095320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6677 (or 6673 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The spelling of 23432095320 in words is "twenty-three billion, four hundred thirty-two million, ninety-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 821 984 1230 1640 1642 2460 2463 3284 4105 4920 4926 5801 6568 8210 9852 11602 12315 16420 17403 19704 23204 24630 29005 32840 33661 34806 46408 49260 58010 67322 69612 87015 98520 100983 116020 134644 139224 168305 174030 201966 232040 237841 269288 336610 348060 403932 475682 504915 673220 696120 713523 807864 951364 1009830 1189205 1346440 1427046 1902728 2019660 2378410 2854092 3567615 4039320 4756820 4762621 5708184 7135230 9513640 9525242 14270460 14287863 19050484 23813105 28540920 28575726 38100968 47626210 57151452 71439315 95252420 114302904 142878630 190504840 195267461 285757260 390534922 571514520 585802383 781069844 976337305 1171604766 1562139688 1952674610 2343209532 2929011915 3905349220 4686419064 5858023830 7810698440 11716047660 23432095320