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20416146201204 = 223131316277159157
BaseRepresentation
bin1001010010001100000010…
…01001000101101001110100
32200021202122022221212210120
410221012001021011221310
510133444231411414304
6111231014215251540
74205006064251535
oct451060111055164
980252568855716
1020416146201204
116561491312376
122358952079bb0
13b51307a77090
1450820a96c68c
1525610e0040d9
hex129181245a74

20416146201204 has 96 divisors (see below), whose sum is σ = 51702290403456. Its totient is φ = 6232905469440.

The previous prime is 20416146201167. The next prime is 20416146201251. The reversal of 20416146201204 is 40210264161402.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 128197194 + ... + 128356350.

It is an arithmetic number, because the mean of its divisors is an integer number (538565525036).

Almost surely, 220416146201204 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 20416146201204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25851145201728).

20416146201204 is an abundant number, since it is smaller than the sum of its proper divisors (31286144202252).

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

20416146201204 is a wasteful number, since it uses less digits than its factorization.

20416146201204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165585 (or 165583 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 20416146201204 in words is "twenty trillion, four hundred sixteen billion, one hundred forty-six million, two hundred one thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 131 156 262 393 524 786 1572 1703 3406 5109 6277 6812 10218 12554 18831 20436 25108 37662 75324 81601 159157 163202 244803 318314 326404 477471 489606 636628 822287 954942 979212 1644574 1909884 2069041 2466861 3289148 4138082 4933722 6207123 8276164 9867444 10689731 12414246 20849567 21379462 24828492 32069193 41699134 42758924 62548701 64138386 83398268 125097402 128276772 250194804 271044371 542088742 813133113 999028489 1084177484 1626266226 1998056978 2997085467 3252532452 3996113956 5994170934 11988341868 12987370357 25974740714 38962111071 51949481428 77924222142 130872732059 155848444284 261745464118 392618196177 523490928236 785236392354 1570472784708 1701345516767 3402691033534 5104036550301 6805382067068 10208073100602 20416146201204