Search a number
-
+
9970718064 = 2431037392729
BaseRepresentation
bin10010100100100110…
…10001010101110000
3221201212122221212020
421102103101111300
5130410000434224
64325215031440
7502040463606
oct112223212560
927655587766
109970718064
11425723506a
121b2320b580
13c2b907298
146a82dd876
153d5526c79
hex2524d1570

9970718064 has 80 divisors (see below), whose sum is σ = 26052499200. Its totient is φ = 3285646848.

The previous prime is 9970718041. The next prime is 9970718071. The reversal of 9970718064 is 4608170799.

It is a junction number, because it is equal to n+sod(n) for n = 9970717998 and 9970718016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3652252 + ... + 3654980.

It is an arithmetic number, because the mean of its divisors is an integer number (325656240).

Almost surely, 29970718064 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 9970718064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13026249600).

9970718064 is an abundant number, since it is smaller than the sum of its proper divisors (16081781136).

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

9970718064 is a wasteful number, since it uses less digits than its factorization.

9970718064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 9970718064 is about 99853.4829838198. The cubic root of 9970718064 is about 2152.3297668618.

The spelling of 9970718064 in words is "nine billion, nine hundred seventy million, seven hundred eighteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 739 824 1236 1478 1648 2217 2472 2729 2956 4434 4944 5458 5912 8187 8868 10916 11824 16374 17736 21832 32748 35472 43664 65496 76117 130992 152234 228351 281087 304468 456702 562174 608936 843261 913404 1124348 1217872 1686522 1826808 2016731 2248696 3373044 3653616 4033462 4497392 6050193 6746088 8066924 12100386 13492176 16133848 24200772 32267696 48401544 96803088 207723293 415446586 623169879 830893172 1246339758 1661786344 2492679516 3323572688 4985359032 9970718064