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66292619970 = 23541163330653
BaseRepresentation
bin111101101111010110…
…010001101011000010
320100010001021000120010
4331233112101223002
52041231402314340
650242052525350
74534535654343
oct755726215302
9210101230503
1066292619970
1126129501635
1210a21320856
13633633b865
1432cc4b40ca
151aceddcb80
hexf6f591ac2

66292619970 has 64 divisors (see below), whose sum is σ = 163983222144. Its totient is φ = 17140999680.

The previous prime is 66292619951. The next prime is 66292619993. The reversal of 66292619970 is 7991629266.

It is a happy number.

It is a super-2 number, since 2×662926199702 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66292619970.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35164 + ... + 365816.

It is an arithmetic number, because the mean of its divisors is an integer number (2562237846).

Almost surely, 266292619970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66292619970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81991611072).

66292619970 is an abundant number, since it is smaller than the sum of its proper divisors (97690602174).

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

66292619970 is a wasteful number, since it uses less digits than its factorization.

66292619970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330867.

The product of its (nonzero) digits is 4408992, while the sum is 57.

The spelling of 66292619970 in words is "sixty-six billion, two hundred ninety-two million, six hundred nineteen thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 163 205 246 326 410 489 615 815 978 1230 1630 2445 4890 6683 13366 20049 33415 40098 66830 100245 200490 330653 661306 991959 1653265 1983918 3306530 4959795 9919590 13556773 27113546 40670319 53896439 67783865 81340638 107792878 135567730 161689317 203351595 269482195 323378634 406703190 538964390 808446585 1616893170 2209753999 4419507998 6629261997 11048769995 13258523994 22097539990 33146309985 66292619970