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2132952912 = 24353714827
BaseRepresentation
bin111111100100010…
…0100011101010000
312111122112020100000
41333020210131100
513332013443122
6551352330000
7103566541416
oct17710443520
95448466300
102132952912
119a4aa6102
124b63a3900
1327cb87c1c
141633c72b6
15c73c60ac
hex7f224750

2132952912 has 120 divisors (see below), whose sum is σ = 6358127776. Its totient is φ = 691721856.

The previous prime is 2132952883. The next prime is 2132952931. The reversal of 2132952912 is 2192592312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136443 + ... + 151269.

Almost surely, 22132952912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132952912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179063888).

2132952912 is an abundant number, since it is smaller than the sum of its proper divisors (4225174864).

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

2132952912 is a wasteful number, since it uses less digits than its factorization.

2132952912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14887 (or 14869 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 2132952912 is about 46183.9031698275. The cubic root of 2132952912 is about 1287.2426556006.

The spelling of 2132952912 in words is "two billion, one hundred thirty-two million, nine hundred fifty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 243 296 324 333 432 444 486 592 648 666 888 972 999 1296 1332 1776 1944 1998 2664 2997 3888 3996 5328 5994 7992 8991 11988 14827 15984 17982 23976 29654 35964 44481 47952 59308 71928 88962 118616 133443 143856 177924 237232 266886 355848 400329 533772 548599 711696 800658 1067544 1097198 1200987 1601316 1645797 2135088 2194396 2401974 3202632 3291594 3602961 4388792 4803948 4937391 6405264 6583188 7205922 8777584 9607896 9874782 13166376 14411844 14812173 19215792 19749564 26332752 28823688 29624346 39499128 44436519 57647376 59248692 78998256 88873038 118497384 133309557 177746076 236994768 266619114 355492152 533238228 710984304 1066476456 2132952912