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601061040060 = 2235132812742317
BaseRepresentation
bin10001011111100100000…
…01111001111110111100
32010110102222101110211020
420233302001321332330
534321433111240220
61140042412024140
761265565354165
oct10576201717674
92113388343736
10601061040060
112119aa318708
12985a6162050
13448ab719b70
142113d16076c
151097d0aa040
hex8bf2079fbc

601061040060 has 96 divisors (see below), whose sum is σ = 1818880805952. Its totient is φ = 147426908160.

The previous prime is 601061039989. The next prime is 601061040061. The reversal of 601061040060 is 60040160106.

It is a super-2 number, since 2×6010610400602 (a number of 24 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 601061040060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601061040061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1151979 + ... + 1590338.

It is an arithmetic number, because the mean of its divisors is an integer number (18946675062).

Almost surely, 2601061040060 is an apocalyptic number.

601061040060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

601061040060 is an abundant number, since it is smaller than the sum of its proper divisors (1217819765892).

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

601061040060 is a wasteful number, since it uses less digits than its factorization.

601061040060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742623 (or 2742621 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 601061040060 in words is "six hundred one billion, sixty-one million, forty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 281 390 562 780 843 1124 1405 1686 2810 3372 3653 4215 5620 7306 8430 10959 14612 16860 18265 21918 36530 43836 54795 73060 109590 219180 2742317 5484634 8226951 10969268 13711585 16453902 27423170 32907804 35650121 41134755 54846340 71300242 82269510 106950363 142600484 164539020 178250605 213900726 356501210 427801452 534751815 713002420 770591077 1069503630 1541182154 2139007260 2311773231 3082364308 3852955385 4623546462 7705910770 9247092924 10017684001 11558866155 15411821540 20035368002 23117732310 30053052003 40070736004 46235464620 50088420005 60106104006 100176840010 120212208012 150265260015 200353680020 300530520030 601061040060