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192016070064 = 2432713139271389
BaseRepresentation
bin1011001011010100001…
…1001011010110110000
3200100121221010000120200
42302311003023112300
511121222103220224
6224113322435200
716605223444230
oct2626503132660
9610557100520
10192016070064
117448507a4a5
1231269962b00
1315151214790
1494179dbcc0
154edc5a05c9
hex2cb50cb5b0

192016070064 has 480 divisors, whose sum is σ = 670323763200. Its totient is φ = 49962977280.

The previous prime is 192016070039. The next prime is 192016070111. The reversal of 192016070064 is 460070610291.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 493614382 + ... + 493614770.

It is an arithmetic number, because the mean of its divisors is an integer number (1396507840).

Almost surely, 2192016070064 is an apocalyptic number.

192016070064 is a gapful number since it is divisible by the number (14) 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 192016070064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335161881600).

192016070064 is an abundant number, since it is smaller than the sum of its proper divisors (478307693136).

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

192016070064 is a wasteful number, since it uses less digits than its factorization.

192016070064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 192016070064 in words is "one hundred ninety-two billion, sixteen million, seventy thousand, sixty-four".