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2005900067484 = 2238137557903
BaseRepresentation
bin11101001100001000111…
…101100000001010011100
321002202120121212100000000
4131030020331200022130
5230331040404124414
64133255303534300
7264631034152005
oct35141075401234
97082517770000
102005900067484
11703774326915
1228490ba5a390
13117203a11271
146d12c2c81ac
15372a0e75b09
hex1d308f6029c

2005900067484 has 108 divisors (see below), whose sum is σ = 5303661933024. Its totient is φ = 663751630656.

The previous prime is 2005900067477. The next prime is 2005900067491. The reversal of 2005900067484 is 4847600095002.

It is a happy number.

2005900067484 is a `hidden beast` number, since 20 + 0 + 5 + 90 + 0 + 0 + 67 + 484 = 666.

It is an interprime number because it is at equal distance from previous prime (2005900067477) and next prime (2005900067491).

It is a tau number, because it is divible by the number of its divisors (108).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3316477 + ... + 3874379.

Almost surely, 22005900067484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005900067484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651830966512).

2005900067484 is an abundant number, since it is smaller than the sum of its proper divisors (3297761865540).

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

2005900067484 is an equidigital number, since it uses as much as digits as its factorization.

2005900067484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558068 (or 558045 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2005900067484 in words is "two trillion, five billion, nine hundred million, sixty-seven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 243 274 324 411 486 548 729 822 972 1233 1458 1644 2187 2466 2916 3699 4374 4932 6561 7398 8748 11097 13122 14796 22194 26244 33291 44388 66582 99873 133164 199746 299619 399492 557903 599238 898857 1115806 1198476 1673709 1797714 2231612 3347418 3595428 5021127 6694836 10042254 15063381 20084508 30126762 45190143 60253524 76432711 90380286 135570429 152865422 180760572 229298133 271140858 305730844 406711287 458596266 542281716 687894399 813422574 917192532 1220133861 1375788798 1626845148 2063683197 2440267722 2751577596 3660401583 4127366394 4880535444 6191049591 7320803166 8254732788 12382099182 14641606332 18573148773 24764198364 37146297546 55719446319 74292595092 111438892638 167158338957 222877785276 334316677914 501475016871 668633355828 1002950033742 2005900067484