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19978500064 = 253150340039
BaseRepresentation
bin10010100110110011…
…111011011111100000
31220120100001221212211
4102212303323133200
5311403444000224
613102240331504
71305041306605
oct224663733740
956510057784
1019978500064
118522384886
123a56913b94
131b650ba893
14d774ca6ac
157bde20894
hex4a6cfb7e0

19978500064 has 48 divisors (see below), whose sum is σ = 40683202560. Its totient is φ = 9647556480.

The previous prime is 19978500053. The next prime is 19978500109. The reversal of 19978500064 is 46000587991.

It is a junction number, because it is equal to n+sod(n) for n = 19978499990 and 19978500017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478957 + ... + 518995.

It is an arithmetic number, because the mean of its divisors is an integer number (847566720).

Almost surely, 219978500064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19978500064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20341601280).

19978500064 is an abundant number, since it is smaller than the sum of its proper divisors (20704702496).

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

19978500064 is a wasteful number, since it uses less digits than its factorization.

19978500064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40583 (or 40575 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

The spelling of 19978500064 in words is "nineteen billion, nine hundred seventy-eight million, five hundred thousand, sixty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 503 992 1006 2012 4024 8048 15593 16096 31186 40039 62372 80078 124744 160156 249488 320312 498976 640624 1241209 1281248 2482418 4964836 9929672 19859344 20139617 39718688 40279234 80558468 161116936 322233872 624328127 644467744 1248656254 2497312508 4994625016 9989250032 19978500064