Search a number
81537746120070 = 23537709277737309
BaseRepresentation
bin10010100010100001111100…
…011001001010110110000110
3101200200221011201110201211120
4102202201330121022312012
541141403301001320240
6445225531244414410
723113623234353232
oct2242417431126606
9350627151421746
1081537746120070
1123a86a67000189
12918a68a247406
133665c903b32c6
14161c63b3275c2

81537746120070 has 128 divisors (see below), whose sum is σ = 201340865980800. Its totient is φ = 21117727199232.

The previous prime is 81537746119997. The next prime is 81537746120141. The reversal of 81537746120070 is 7002164773518.

It is a junction number, because it is equal to n+sod(n) for n = 81537746119995 and 81537746120022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2185452576 + ... + 2185489884.

It is an arithmetic number, because the mean of its divisors is an integer number (1572975515475).

Almost surely, 281537746120070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81537746120070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100670432990400).

81537746120070 is an abundant number, since it is smaller than the sum of its proper divisors (119803119860730).

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

81537746120070 is a wasteful number, since it uses less digits than its factorization.

81537746120070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40842.

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 81537746120070 in words is "eighty-one trillion, five hundred thirty-seven billion, seven hundred forty-six million, one hundred twenty thousand, seventy".