Search a number
-
+
601100010056 = 237213139848599
BaseRepresentation
bin10001011111101000101…
…10100100001001001000
32010110112200201100121102
420233310112210021020
534322023100310211
61140050323200532
761266550532300
oct10576426441110
92113480640542
10601100010056
11211a1a315417
12985b7216148
13448b6812930
14211443c6600
1510981706a3b
hex8bf45a4248

601100010056 has 96 divisors (see below), whose sum is σ = 1422083880000. Its totient is φ = 236086752384.

The previous prime is 601100010001. The next prime is 601100010067. The reversal of 601100010056 is 650010001106.

It is a happy number.

It is a super-2 number, since 2×6011000100562 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284045 + ... + 1132643.

It is an arithmetic number, because the mean of its divisors is an integer number (14813373750).

Almost surely, 2601100010056 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 601100010056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711041940000).

601100010056 is an abundant number, since it is smaller than the sum of its proper divisors (820983869944).

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

601100010056 is a wasteful number, since it uses less digits than its factorization.

601100010056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848771 (or 848760 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 601100010056 in words is "six hundred one billion, one hundred million, ten thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 139 182 196 278 364 392 556 637 728 973 1112 1274 1807 1946 2548 3614 3892 5096 6811 7228 7784 12649 13622 14456 25298 27244 50596 54488 88543 101192 177086 354172 708344 848599 1697198 3394396 5940193 6788792 11031787 11880386 22063574 23760772 41581351 44127148 47521544 77222509 83162702 88254296 117955261 154445018 166325404 235910522 308890036 332650808 471821044 540557563 617780072 825686827 943642088 1081115126 1533418393 1651373654 2162230252 3066836786 3302747308 4324460504 5779807789 6133673572 6605494616 10733928751 11559615578 12267347144 21467857502 23119231156 42935715004 46238462312 75137501257 85871430008 150275002514 300550005028 601100010056