Search a number
-
+
380745961848 = 23327344934337
BaseRepresentation
bin1011000101001100011…
…10100101000101111000
31100101202211200220000200
411202212032211011320
522214231431234343
6450525015202200
736336145164000
oct5424616450570
91311684626020
10380745961848
1113752319557a
126195b076360
1329b9a676165
14145dcdbb000
159d863cd4d3
hex58a63a5178

380745961848 has 192 divisors, whose sum is σ = 1205263800000. Its totient is φ = 108539117568.

The previous prime is 380745961807. The next prime is 380745961901. The reversal of 380745961848 is 848169547083.

380745961848 is a `hidden beast` number, since 3 + 8 + 0 + 7 + 4 + 5 + 9 + 618 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 11071336 + ... + 11105672.

It is an arithmetic number, because the mean of its divisors is an integer number (6277415625).

Almost surely, 2380745961848 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 380745961848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602631900000).

380745961848 is an abundant number, since it is smaller than the sum of its proper divisors (824517838152).

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

380745961848 is a wasteful number, since it uses less digits than its factorization.

380745961848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34819 (or 34798 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 380745961848 in words is "three hundred eighty billion, seven hundred forty-five million, nine hundred sixty-one thousand, eight hundred forty-eight".