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2973852944106 = 231145798596013
BaseRepresentation
bin101011010001100111011…
…100101100011011101010
3101112022000220222012202120
4223101213130230123222
5342210422323202411
610154100313212110
7424565563643322
oct53214734543352
911468026865676
102973852944106
11a47227505680
12400429401036
1318758277b6b5
14a3d14482282
1552553ee3106
hex2b46772c6ea

2973852944106 has 32 divisors (see below), whose sum is σ = 6502604315328. Its totient is φ = 899195629440.

The previous prime is 2973852944089. The next prime is 2973852944119. The reversal of 2973852944106 is 6014492583792.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2973852944106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49267845 + ... + 49328168.

It is an arithmetic number, because the mean of its divisors is an integer number (203206384854).

It is a 1-persistent number, because it is pandigital, but 2⋅2973852944106 = 5947705888212 is not.

Almost surely, 22973852944106 is an apocalyptic number.

2973852944106 is an abundant number, since it is smaller than the sum of its proper divisors (3528751371222).

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

2973852944106 is a wasteful number, since it uses less digits than its factorization.

2973852944106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98596486.

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 2973852944106 in words is "two trillion, nine hundred seventy-three billion, eight hundred fifty-two million, nine hundred forty-four thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 66 457 914 1371 2742 5027 10054 15081 30162 98596013 197192026 295788039 591576078 1084556143 2169112286 3253668429 6507336858 45058377941 90116755882 135175133823 270350267646 495642157351 991284314702 1486926472053 2973852944106