Search a number
-
+
2870417542104 = 23327174373106727
BaseRepresentation
bin101001110001010010001…
…101111100101111011000
3101011102001100000100220200
4221301102031330233120
5334012103342321404
610034352425422200
7414244423352460
oct51612215745730
911142040010820
102870417542104
11a07378964172
123a438103a960
1317a8aa2cc408
149cd0107aba0
154e9ed3ab839
hex29c5237cbd8

2870417542104 has 384 divisors, whose sum is σ = 9757978813440. Its totient is φ = 743591632896.

The previous prime is 2870417542103. The next prime is 2870417542127. The reversal of 2870417542104 is 4012457140782.

2870417542104 is a `hidden beast` number, since 2 + 87 + 0 + 4 + 17 + 542 + 10 + 4 = 666.

It is a super-2 number, since 2×28704175421042 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2870417542104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2870417542103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26841589 + ... + 26948315.

It is an arithmetic number, because the mean of its divisors is an integer number (25411403160).

Almost surely, 22870417542104 is an apocalyptic number.

2870417542104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2870417542104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878989406720).

2870417542104 is an abundant number, since it is smaller than the sum of its proper divisors (6887561271336).

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

2870417542104 is a wasteful number, since it uses less digits than its factorization.

2870417542104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106879 (or 106872 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 2870417542104 in words is "two trillion, eight hundred seventy billion, four hundred seventeen million, five hundred forty-two thousand, one hundred four".