Search a number
-
+
4780655782560 = 253457194759011
BaseRepresentation
bin100010110010001010101…
…0010100010101010100000
3121221000201010021101020000
41011210111102202222200
51111311240340020220
614100111500420000
71002251051450550
oct105442522425240
917830633241200
104780655782560
1115835126154a9
12652633b47600
13288a771c74a8
14127556527160
1584550dbc390
hex459154a2aa0

4780655782560 has 960 divisors, whose sum is σ = 20729017774080. Its totient is φ = 1013166766080.

The previous prime is 4780655782559. The next prime is 4780655782583. The reversal of 4780655782560 is 652875560874.

4780655782560 is a `hidden beast` number, since 4 + 7 + 8 + 0 + 6 + 5 + 578 + 2 + 56 + 0 = 666.

It is a super-2 number, since 2×47806557825602 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80983455 + ... + 81042465.

It is an arithmetic number, because the mean of its divisors is an integer number (21592726848).

Almost surely, 24780655782560 is an apocalyptic number.

4780655782560 is a gapful number since it is divisible by the number (40) 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 4780655782560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10364508887040).

4780655782560 is an abundant number, since it is smaller than the sum of its proper divisors (15948361991520).

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

4780655782560 is a wasteful number, since it uses less digits than its factorization.

4780655782560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59111 (or 59094 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 4780655782560 in words is "four trillion, seven hundred eighty billion, six hundred fifty-five million, seven hundred eighty-two thousand, five hundred sixty".