Search a number
-
+
146774698080 = 25353143922469
BaseRepresentation
bin1000100010110001110…
…1000010100001100000
3112000211222111012101220
42020230131002201200
54401043310314310
6151232151055040
713414133230443
oct2105435024140
9460758435356
10146774698080
115727954407a
1224542671480
1310ac12c219a
14716529b65a
153c40884670
hex222c742860

146774698080 has 192 divisors, whose sum is σ = 478362931200. Its totient is φ = 37789378560.

The previous prime is 146774698069. The next prime is 146774698153. The reversal of 146774698080 is 80896477641.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6521086 + ... + 6543554.

It is an arithmetic number, because the mean of its divisors is an integer number (2491473600).

Almost surely, 2146774698080 is an apocalyptic number.

146774698080 is a gapful number since it is divisible by the number (10) 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 146774698080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239181465600).

146774698080 is an abundant number, since it is smaller than the sum of its proper divisors (331588233120).

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

146774698080 is a wasteful number, since it uses less digits than its factorization.

146774698080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22957 (or 22949 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 146774698080 in words is "one hundred forty-six billion, seven hundred seventy-four million, six hundred ninety-eight thousand, eighty".