Search a number
-
+
601340550928 = 2413217231103241
BaseRepresentation
bin10001100000000101011…
…00001001111100010000
32010111011110100002122121
420300002230021330100
534323021140112203
61140130234544024
761305531226525
oct10600254117420
92114143302577
10601340550928
11212033078327
1298663898014
13449245c2a00
142116831d14c
15109978bd0bd
hex8c02b09f10

601340550928 has 360 divisors, whose sum is σ = 1402651700736. Its totient is φ = 249296486400.

The previous prime is 601340550907. The next prime is 601340550947. The reversal of 601340550928 is 829055043106.

It is a super-2 number, since 2×6013405509282 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2495188888 + ... + 2495189128.

Almost surely, 2601340550928 is an apocalyptic number.

601340550928 is a gapful number since it is divisible by the number (68) 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 601340550928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701325850368).

601340550928 is an abundant number, since it is smaller than the sum of its proper divisors (801311149808).

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

601340550928 is a wasteful number, since it uses less digits than its factorization.

601340550928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 601340550928 in words is "six hundred one billion, three hundred forty million, five hundred fifty thousand, nine hundred twenty-eight".