Search a number
-
+
60977000448 = 212337137383
BaseRepresentation
bin111000110010100000…
…110011000000000000
312211101120222120102000
4320302200303000000
51444340103003243
644002404424000
74256031644340
oct706240630000
9184346876360
1060977000448
1123950a21a51
12b9990a8000
135999ca3870
142d46534d20
1518bd3de5d3
hexe32833000

60977000448 has 832 divisors, whose sum is σ = 228100346880. Its totient is φ = 15670444032.

The previous prime is 60977000417. The next prime is 60977000489. The reversal of 60977000448 is 84400077906.

It is a tau number, because it is divible by the number of its divisors (832).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 734662615 + ... + 734662697.

Almost surely, 260977000448 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 60977000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114050173440).

60977000448 is an abundant number, since it is smaller than the sum of its proper divisors (167123346432).

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

60977000448 is a wasteful number, since it uses less digits than its factorization.

60977000448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 60977000448 in words is "sixty billion, nine hundred seventy-seven million, four hundred forty-eight", and thus it is an aban number.