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126020564046 = 233136112972269
BaseRepresentation
bin111010101011101101…
…0010011010001001110
3110001021120220221202000
41311113122103101032
54031042231022141
6133520522013130
712050623056156
oct1652732232116
9401246827660
10126020564046
1149499360a93
12205100471a6
13bb646031c0
146156b89766
1534288015b6
hex1d5769344e

126020564046 has 128 divisors (see below), whose sum is σ = 306903273600. Its totient is φ = 38093690880.

The previous prime is 126020564041. The next prime is 126020564077. The reversal of 126020564046 is 640465020621.

126020564046 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 2 + 0 + 5 + 640 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 126020564046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126020564041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55539000 + ... + 55541268.

It is an arithmetic number, because the mean of its divisors is an integer number (2397681825).

Almost surely, 2126020564046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126020564046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153451636800).

126020564046 is an abundant number, since it is smaller than the sum of its proper divisors (180882709554).

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

126020564046 is a wasteful number, since it uses less digits than its factorization.

126020564046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 126020564046 its reverse (640465020621), we get a palindrome (766485584667).

The spelling of 126020564046 in words is "one hundred twenty-six billion, twenty million, five hundred sixty-four thousand, forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 78 117 122 183 234 351 366 549 702 793 1098 1297 1586 1647 2269 2379 2594 3294 3891 4538 4758 6807 7137 7782 11673 13614 14274 16861 20421 21411 23346 29497 33722 35019 40842 42822 50583 58994 61263 70038 79117 88491 101166 122526 138409 151749 158234 176982 237351 265473 276818 303498 415227 455247 474702 530946 712053 796419 830454 910494 1028521 1245681 1424106 1592838 1799317 2057042 2136159 2491362 2942893 3085563 3598634 3737043 4272318 5397951 5885786 6171126 7474086 8828679 9256689 10795902 16193853 17657358 18513378 26486037 27770067 32387706 38257609 48581559 52972074 55540134 76515218 79458111 97163118 114772827 158916222 179516473 229545654 344318481 359032946 538549419 688636962 1032955443 1077098838 1615648257 2065910886 2333714149 3231296514 4667428298 4846944771 7001142447 9693889542 14002284894 21003427341 42006854682 63010282023 126020564046