Search a number
-
+
1032640361104 = 24117974269301
BaseRepresentation
bin11110000011011100010…
…10010111001010010000
310122201102111000120101011
433001232022113022100
5113404321413023404
62110215522420304
7134414535146452
oct17015612271220
93581374016334
101032640361104
11368a38621340
12148171201694
13764ba695891
1437da13dc2d2
151bcdc094604
hexf06e297290

1032640361104 has 40 divisors (see below), whose sum is σ = 2210254427520. Its totient is φ = 463440432000.

The previous prime is 1032640361099. The next prime is 1032640361141. The reversal of 1032640361104 is 4011630462301.

It is a happy number.

It is a super-2 number, since 2×10326403611042 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37120747 + ... + 37148554.

It is an arithmetic number, because the mean of its divisors is an integer number (55256360688).

Almost surely, 21032640361104 is an apocalyptic number.

It is an amenable number.

1032640361104 is an abundant number, since it is smaller than the sum of its proper divisors (1177614066416).

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

1032640361104 is a wasteful number, since it uses less digits than its factorization.

1032640361104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74269399 (or 74269393 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 1032640361104 in words is "one trillion, thirty-two billion, six hundred forty million, three hundred sixty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 316 632 869 1264 1738 3476 6952 13904 74269301 148538602 297077204 594154408 816962311 1188308816 1633924622 3267849244 5867274779 6535698488 11734549558 13071396976 23469099116 46938198232 64540022569 93876396464 129080045138 258160090276 516320180552 1032640361104