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36342342432 = 25321111471699
BaseRepresentation
bin100001110110001011…
…000010001100100000
310110210202112021120200
4201312023002030200
51043412114424212
624410114305200
72424411546054
oct416613021440
9113722467520
1036342342432
111445a339850
127062b88200
133572365746
141a8a8cdc64
15e2a8366dc
hex8762c2320

36342342432 has 72 divisors (see below), whose sum is σ = 112743867600. Its totient is φ = 11012830080.

The previous prime is 36342342349. The next prime is 36342342457. The reversal of 36342342432 is 23424324363.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5732682 + ... + 5739017.

It is an arithmetic number, because the mean of its divisors is an integer number (1565887050).

Almost surely, 236342342432 is an apocalyptic number.

36342342432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36342342432 is an abundant number, since it is smaller than the sum of its proper divisors (76401525168).

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

36342342432 is a wasteful number, since it uses less digits than its factorization.

36342342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11471726 (or 11471715 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 36342342432 its reverse (23424324363), we get a palindrome (59766666795).

The spelling of 36342342432 in words is "thirty-six billion, three hundred forty-two million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 11471699 22943398 34415097 45886796 68830194 91773592 103245291 126188689 137660388 183547184 206490582 252377378 275320776 367094368 378566067 412981164 504754756 550641552 757132134 825962328 1009509512 1101283104 1135698201 1514264268 1651924656 2019019024 2271396402 3028528536 3303849312 4038038048 4542792804 6057057072 9085585608 12114114144 18171171216 36342342432