Search a number
-
+
70506644105304 = 233211234798080561
BaseRepresentation
bin10000000010000000011011…
…011110011110100001011000
3100020122100222020220000002100
4100002000123132132201120
533220140101342332204
6405542145525003400
720564636240333661
oct2002003336364130
9306570866800070
1070506644105304
1120513777547240
127aa87b0553560
1330459954bc424
14135a77b242368
1582408da92a39
hex40201b79e858

70506644105304 has 192 divisors, whose sum is σ = 217826093721600. Its totient is φ = 20394040550400.

The previous prime is 70506644105299. The next prime is 70506644105333. The reversal of 70506644105304 is 40350144660507.

70506644105304 is a `hidden beast` number, since 7 + 0 + 5 + 0 + 66 + 44 + 10 + 530 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 70506644105304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4685184 + ... + 12765744.

It is an arithmetic number, because the mean of its divisors is an integer number (1134510904800).

Almost surely, 270506644105304 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 70506644105304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108913046860800).

70506644105304 is an abundant number, since it is smaller than the sum of its proper divisors (147319449616296).

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

70506644105304 is a wasteful number, since it uses less digits than its factorization.

70506644105304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8081086 (or 8081079 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 70506644105304 in words is "seventy trillion, five hundred six billion, six hundred forty-four million, one hundred five thousand, three hundred four".