Search a number
-
+
67870780992 = 26327193128579
BaseRepresentation
bin111111001101011010…
…011110111001000000
320111012000211220111100
4333031122132321000
52102444404442432
651102430214400
74621621056030
oct771532367100
9214160756440
1067870780992
1126869317343
12111a1954400
136528299151
1433dbd218c0
151b7372607c
hexfcd69ee40

67870780992 has 336 divisors, whose sum is σ = 241590169600. Its totient is φ = 17777802240.

The previous prime is 67870780951. The next prime is 67870780997. The reversal of 67870780992 is 29908707876.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (67870780997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2360559 + ... + 2389137.

Almost surely, 267870780992 is an apocalyptic number.

67870780992 is a gapful number since it is divisible by the number (62) 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 67870780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120795084800).

67870780992 is an abundant number, since it is smaller than the sum of its proper divisors (173719388608).

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

67870780992 is a wasteful number, since it uses less digits than its factorization.

67870780992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28654 (or 28641 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 67870780992 in words is "sixty-seven billion, eight hundred seventy million, seven hundred eighty thousand, nine hundred ninety-two".