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20413152151542 = 23231731014961713
BaseRepresentation
bin1001010010000110011101…
…01011101100011111110110
32200021110220200010101210100
410221003032223230133312
510133422113422322132
6111225401142334530
74204541640251013
oct451031653543766
980243820111710
1020413152151542
116560195246567
12235825742a446
13b50c4b697067
1450800507470a
15255ed623837c
hex1290ceaec7f6

20413152151542 has 96 divisors (see below), whose sum is σ = 46738869555456. Its totient is φ = 6430378752000.

The previous prime is 20413152151537. The next prime is 20413152151547. The reversal of 20413152151542 is 24515125131402.

20413152151542 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 31 + 521 + 51 + 54 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20413152151537) and next prime (20413152151547).

It is a junction number, because it is equal to n+sod(n) for n = 20413152151497 and 20413152151506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413152151547) 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, 1633278 + ... + 6594990.

It is an arithmetic number, because the mean of its divisors is an integer number (486863224536).

Almost surely, 220413152151542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20413152151542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23369434777728).

20413152151542 is an abundant number, since it is smaller than the sum of its proper divisors (26325717403914).

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

20413152151542 is a wasteful number, since it uses less digits than its factorization.

20413152151542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961926 (or 4961923 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 20413152151542 its reverse (24515125131402), we get a palindrome (44928277282944).

The spelling of 20413152151542 in words is "twenty trillion, four hundred thirteen billion, one hundred fifty-two million, one hundred fifty-one thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 73 93 101 146 186 202 219 279 303 438 558 606 657 909 1314 1818 2263 3131 4526 6262 6789 7373 9393 13578 14746 18786 20367 22119 28179 40734 44238 56358 66357 132714 228563 457126 685689 1371378 2057067 4114134 4961713 9923426 14885139 29770278 44655417 89310834 153813103 307626206 362205049 461439309 501133013 724410098 922878618 1002266026 1086615147 1384317927 1503399039 2173230294 2768635854 3006798078 3259845441 4510197117 6519690882 9020394234 11228356519 15535123403 22456713038 31070246806 33685069557 36582709949 46605370209 67370139114 73165419898 93210740418 101055208671 109748129847 139816110627 202110417342 219496259694 279632221254 329244389541 658488779082 1134064008419 2268128016838 3402192025257 6804384050514 10206576075771 20413152151542