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2010405231432 = 233413238652093
BaseRepresentation
bin11101010000010101011…
…111010101101101001000
321010012012121010101010000
4131100111133111231020
5230414302214401212
64135322321123000
7265150500340533
oct35202537255510
97105177111100
102010405231432
11705676384204
12285768789460
131177711a5350
146d438779a1a
15374667341dc
hex1d4157d5b48

2010405231432 has 80 divisors (see below), whose sum is σ = 6064149708540. Its totient is φ = 618586222464.

The previous prime is 2010405231431. The next prime is 2010405231467. The reversal of 2010405231432 is 2341325040102.

2010405231432 is a `hidden beast` number, since 2 + 0 + 104 + 0 + 523 + 1 + 4 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1877190451236 + 133214780196 = 1370106^2 + 364986^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2010405231396 and 2010405231405.

It is not an unprimeable number, because it can be changed into a prime (2010405231431) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119317623 + ... + 119334470.

Almost surely, 22010405231432 is an apocalyptic number.

It is an amenable number.

2010405231432 is an abundant number, since it is smaller than the sum of its proper divisors (4053744477108).

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

2010405231432 is a wasteful number, since it uses less digits than its factorization.

2010405231432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238652124 (or 238652111 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 2010405231432 in words is "two trillion, ten billion, four hundred five million, two hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 238652093 477304186 715956279 954608372 1431912558 1909216744 2147868837 2863825116 3102477209 4295737674 5727650232 6204954418 6443606511 8591475348 9307431627 12409908836 12887213022 17182950696 18614863254 19330819533 24819817672 25774426044 27922294881 37229726508 38661639066 51548852088 55844589762 74459453016 77323278132 83766884643 111689179524 154646556264 167533769286 223378359048 251300653929 335067538572 502601307858 670135077144 1005202615716 2010405231432