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2978201234952 = 233241363906041
BaseRepresentation
bin101011010101101010101…
…000000110111000001000
3101112201020222001021102200
4223111222220012320020
5342243324004004302
610200100004200200
7425111413545156
oct53255250067010
911481228037380
102978201234952
11a49058a56979
12401241699060
13187ac65a8368
14a4207b7a3d6
155270ab1581c
hex2b56aa06e08

2978201234952 has 24 divisors (see below), whose sum is σ = 8065961678190. Its totient is φ = 992733744960.

The previous prime is 2978201234927. The next prime is 2978201234959. The reversal of 2978201234952 is 2594321028792.

2978201234952 is a `hidden beast` number, since 2 + 9 + 7 + 8 + 20 + 123 + 495 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2681845117956 + 296356116996 = 1637634^2 + 544386^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (2978201234959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20681952949 + ... + 20681953092.

Almost surely, 22978201234952 is an apocalyptic number.

It is an amenable number.

2978201234952 is an abundant number, since it is smaller than the sum of its proper divisors (5087760443238).

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

2978201234952 is a wasteful number, since it uses less digits than its factorization.

2978201234952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41363906053 (or 41363906046 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2978201234952 in words is "two trillion, nine hundred seventy-eight billion, two hundred one million, two hundred thirty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 41363906041 82727812082 124091718123 165455624164 248183436246 330911248328 372275154369 496366872492 744550308738 992733744984 1489100617476 2978201234952