Search a number
-
+
2590141603878 = 23513738901529
BaseRepresentation
bin100101101100010000011…
…110000110000000100110
3100011121121102101111100000
4211230100132012000212
5314414102222311003
65301521123402130
7355063060241313
oct45542036060046
910147542344300
102590141603878
11909522457474
12359ba1223346
1315a33195379a
148d513711d0a
154759760e1a3
hex25b10786026

2590141603878 has 48 divisors (see below), whose sum is σ = 5862304964880. Its totient is φ = 857078464896.

The previous prime is 2590141603873. The next prime is 2590141603897. The reversal of 2590141603878 is 8783061410952.

2590141603878 is a `hidden beast` number, since 2 + 5 + 90 + 14 + 160 + 387 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590141603873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19384183 + ... + 19517346.

It is an arithmetic number, because the mean of its divisors is an integer number (122131353435).

It is a 1-persistent number, because it is pandigital, but 2⋅2590141603878 = 5180283207756 is not.

Almost surely, 22590141603878 is an apocalyptic number.

2590141603878 is an abundant number, since it is smaller than the sum of its proper divisors (3272163361002).

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

2590141603878 is a wasteful number, since it uses less digits than its factorization.

2590141603878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38901683 (or 38901671 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2590141603878 in words is "two trillion, five hundred ninety billion, one hundred forty-one million, six hundred three thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 243 274 411 486 822 1233 2466 3699 7398 11097 22194 33291 66582 38901529 77803058 116704587 233409174 350113761 700227522 1050341283 2100682566 3151023849 5329509473 6302047698 9453071547 10659018946 15988528419 18906143094 31977056838 47965585257 95931170514 143896755771 287793511542 431690267313 863380534626 1295070801939 2590141603878