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1009350932660 = 2257531181115183
BaseRepresentation
bin11101011000000100000…
…00001111100010110100
310120111022101212000121022
432230002000033202310
5113014122314321120
62051404525240312
7132631441240250
oct16540200174264
93514271760538
101009350932660
1135a077319014
12143751703098
137424866a6a5
1436bd22cd260
151b3c7663025
hexeb0200f8b4

1009350932660 has 96 divisors (see below), whose sum is σ = 2470260022272. Its totient is φ = 339243240960.

The previous prime is 1009350932659. The next prime is 1009350932683. The reversal of 1009350932660 is 662390539001.

It is a super-2 number, since 2×10093509326602 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8705429 + ... + 8820611.

It is an arithmetic number, because the mean of its divisors is an integer number (25731875232).

Almost surely, 21009350932660 is an apocalyptic number.

1009350932660 is a gapful number since it is divisible by the number (10) 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 1009350932660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235130011136).

1009350932660 is an abundant number, since it is smaller than the sum of its proper divisors (1460909089612).

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

1009350932660 is a wasteful number, since it uses less digits than its factorization.

1009350932660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116433 (or 116431 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 44.

The spelling of 1009350932660 in words is "one trillion, nine billion, three hundred fifty million, nine hundred thirty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1181 1484 1855 2362 3710 4724 5905 7420 8267 11810 16534 23620 33068 41335 62593 82670 115183 125186 165340 230366 250372 312965 438151 460732 575915 625930 806281 876302 1151830 1251860 1612562 1752604 2190755 2303660 3225124 4031405 4381510 6104699 8062810 8763020 12209398 16125620 24418796 30523495 42732893 61046990 85465786 122093980 136031123 170931572 213664465 272062246 427328930 544124492 680155615 854657860 952217861 1360311230 1904435722 2720622460 3808871444 4761089305 7209649519 9522178610 14419299038 19044357220 28838598076 36048247595 50467546633 72096495190 100935093266 144192990380 201870186532 252337733165 504675466330 1009350932660