Search a number
-
+
67030149120000 = 21435411293677
BaseRepresentation
bin11110011110110101011000…
…01110100100000000000000
322210100000112100020110220120
433033122230032210000000
532241210221133320000
6354321120404140240
720055524403460653
oct1717325416440000
9283300470213816
1067030149120000
111a3a3365784550
127626a85397680
132b52bba4203a1
14127a3c2b1389a
157b391c0346a0
hex3cf6ac3a4000

67030149120000 has 1200 divisors, whose sum is σ = 244853308510272. Its totient is φ = 16170352640000.

The previous prime is 67030149119963. The next prime is 67030149120013. The reversal of 67030149120000 is 2194103076.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99010559662 + ... + 99010560338.

Almost surely, 267030149120000 is an apocalyptic number.

67030149120000 is a gapful number since it is divisible by the number (60) 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 67030149120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122426654255136).

67030149120000 is an abundant number, since it is smaller than the sum of its proper divisors (177823159390272).

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

67030149120000 is an equidigital number, since it uses as much as digits as its factorization.

67030149120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 67030149120000 in words is "sixty-seven trillion, thirty billion, one hundred forty-nine million, one hundred twenty thousand".