Search a number
-
+
26916986880 = 21334571961
BaseRepresentation
bin11001000100011000…
…001010000000000000
32120110220001121110000
4121010120022000000
5420111222040010
620210540240000
71642012420260
oct310430120000
976426047400
1026916986880
1110462a34703
125272540000
1326cc736b94
141434bd37a0
15a781387c0
hex64460a000

26916986880 has 1120 divisors, whose sum is σ = 117989055360. Its totient is φ = 5733089280.

The previous prime is 26916986879. The next prime is 26916986893. The reversal of 26916986880 is 8868961962.

It is a tau number, because it is divible by the number of its divisors (1120).

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 79 ways as a sum of consecutive naturals, for example, 441262050 + ... + 441262110.

Almost surely, 226916986880 is an apocalyptic number.

26916986880 is a gapful number since it is divisible by the number (20) 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 26916986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58994527680).

26916986880 is an abundant number, since it is smaller than the sum of its proper divisors (91072068480).

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

26916986880 is an equidigital number, since it uses as much as digits as its factorization.

26916986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 26916986880 in words is "twenty-six billion, nine hundred sixteen million, nine hundred eighty-six thousand, eight hundred eighty".