Search a number
-
+
70108134587904 = 2937219411195759
BaseRepresentation
bin11111111000011010100100…
…11101010011111000000000
3100012020021100102220222211210
433330031102131103320000
533142122424423303104
6405035122111010120
720524100634331200
oct1774152235237000
9305207312828753
1070108134587904
112037a769294546
127a43514509940
1330172268c036a
141345374dc6400
15818a17e63989
hex3fc352753e00

70108134587904 has 480 divisors, whose sum is σ = 234279230169600. Its totient is φ = 18513777623040.

The previous prime is 70108134587839. The next prime is 70108134587957. The reversal of 70108134587904 is 40978543180107.

70108134587904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×701081345879042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58032777 + ... + 59228535.

It is an arithmetic number, because the mean of its divisors is an integer number (488081729520).

Almost surely, 270108134587904 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 70108134587904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117139615084800).

70108134587904 is an abundant number, since it is smaller than the sum of its proper divisors (164171095581696).

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

70108134587904 is a wasteful number, since it uses less digits than its factorization.

70108134587904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195854 (or 1195831 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 70108134587904 in words is "seventy trillion, one hundred eight billion, one hundred thirty-four million, five hundred eighty-seven thousand, nine hundred four".