Search a number
-
+
2900080073412 = 2232104976794833
BaseRepresentation
bin101010001100111010001…
…111100001101011000100
3101021020121120022002021100
4222030322033201223010
5340003330444322122
610100140044420100
7416344454615544
oct52147217415304
911236546262240
102900080073412
11a18a0a661a55
123aa07ab47630
131806267a80a2
14a051675b324
1550687574aac
hex2a33a3e1ac4

2900080073412 has 36 divisors (see below), whose sum is σ = 7337746388700. Its totient is φ = 965771807232.

The previous prime is 2900080073411. The next prime is 2900080073419. The reversal of 2900080073412 is 2143700800092.

It can be written as a sum of positive squares in 2 ways, for example, as 1600083323136 + 1299996750276 = 1264944^2 + 1140174^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (2900080073411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38359653 + ... + 38435180.

It is an arithmetic number, because the mean of its divisors is an integer number (203826288575).

Almost surely, 22900080073412 is an apocalyptic number.

It is an amenable number.

2900080073412 is an abundant number, since it is smaller than the sum of its proper divisors (4437666315288).

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

2900080073412 is a wasteful number, since it uses less digits than its factorization.

2900080073412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76795892 (or 76795887 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2900080073412 in words is "two trillion, nine hundred billion, eighty million, seventy-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1049 2098 3147 4196 6294 9441 12588 18882 37764 76794833 153589666 230384499 307179332 460768998 691153497 921537996 1382306994 2764613988 80557779817 161115559634 241673339451 322231119268 483346678902 725020018353 966693357804 1450040036706 2900080073412