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20346461403102 = 23237831013644309
BaseRepresentation
bin1001010000001010001111…
…00110101011011111011110
32200001002202212201100122100
410220011013212223133132
510131324023104344402
6111135011344225530
74166661165245052
oct450050746533736
980032685640570
1020346461403102
11653498203813a
12234734490b2a6
13b47880a20a33
14504ab9b65c62
152543d140671c
hex1281479ab7de

20346461403102 has 96 divisors (see below), whose sum is σ = 46274632054560. Its totient is φ = 6454798329600.

The previous prime is 20346461403101. The next prime is 20346461403109. The reversal of 20346461403102 is 20130416464302.

20346461403102 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 6 + 4 + 614 + 0 + 31 + 0 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20346461403101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3760924 + ... + 7405232.

It is an arithmetic number, because the mean of its divisors is an integer number (482027417235).

Almost surely, 220346461403102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20346461403102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23137316027280).

20346461403102 is an abundant number, since it is smaller than the sum of its proper divisors (25928170651458).

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

20346461403102 is a wasteful number, since it uses less digits than its factorization.

20346461403102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644538 (or 3644535 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 20346461403102 its reverse (20130416464302), we get a palindrome (40476877867404).

The spelling of 20346461403102 in words is "twenty trillion, three hundred forty-six billion, four hundred sixty-one million, four hundred three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 74 83 101 111 166 202 222 249 303 333 498 606 666 747 909 1494 1818 3071 3737 6142 7474 8383 9213 11211 16766 18426 22422 25149 27639 33633 50298 55278 67266 75447 150894 310171 620342 930513 1861026 2791539 3644309 5583078 7288618 10932927 21865854 32798781 65597562 134839433 269678866 302477647 368075209 404518299 604955294 736150418 809036598 907432941 1104225627 1213554897 1814865882 2208451254 2427109794 2722298823 3312676881 5444597646 6625353762 11191672939 13618782733 22383345878 27237565466 30550242347 33575018817 40856348199 61100484694 67150037634 81712696398 91650727041 100725056451 122569044597 183301454082 201450112902 245138089194 274952181123 549904362246 1130358966839 2260717933678 3391076900517 6782153801034 10173230701551 20346461403102