Search a number
-
+
68742933504 = 21037311011021
BaseRepresentation
bin100000000000101100…
…1011110110000000000
320120102210221211211020
41000001121132300000
52111241142333004
651325143345440
74652341202520
oct1000131366000
9216383854736
1068742933504
1127176659443
12113a5a52280
136636b9251b
143481aad680
151bc50a18d9
hex100165ec00

68742933504 has 352 divisors, whose sum is σ = 218508767232. Its totient is φ = 18800640000.

The previous prime is 68742933487. The next prime is 68742933547. The reversal of 68742933504 is 40533924786.

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 31 ways as a sum of consecutive naturals, for example, 67328514 + ... + 67329534.

Almost surely, 268742933504 is an apocalyptic number.

68742933504 is a gapful number since it is divisible by the number (64) 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 68742933504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109254383616).

68742933504 is an abundant number, since it is smaller than the sum of its proper divisors (149765833728).

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

68742933504 is a wasteful number, since it uses less digits than its factorization.

68742933504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 68742933504 in words is "sixty-eight billion, seven hundred forty-two million, nine hundred thirty-three thousand, five hundred four".