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2420236445652 = 223526912497411
BaseRepresentation
bin100011001110000001010…
…101010110011111010100
322120101001102212011200000
4203032001111112133110
5304123121012230102
65051501414251300
7336566500232634
oct43160125263724
98511042764600
102420236445652
11853464418333
12331084356b30
131472c55553bc
14851d64c66c4
1542e5129a01c
hex233815567d4

2420236445652 has 144 divisors (see below), whose sum is σ = 6373949400000. Its totient is φ = 802994549760.

The previous prime is 2420236445647. The next prime is 2420236445717. The reversal of 2420236445652 is 2565446320242.

2420236445652 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 23 + 64 + 4 + 565 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2420236445598 and 2420236445607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326569827 + ... + 326577237.

It is an arithmetic number, because the mean of its divisors is an integer number (44263537500).

Almost surely, 22420236445652 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 2420236445652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186974700000).

2420236445652 is an abundant number, since it is smaller than the sum of its proper divisors (3953712954348).

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

2420236445652 is a wasteful number, since it uses less digits than its factorization.

2420236445652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8948 (or 8934 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 2420236445652 in words is "two trillion, four hundred twenty billion, two hundred thirty-six million, four hundred forty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 269 324 486 538 807 972 1076 1249 1614 2421 2498 3228 3747 4842 4996 7263 7411 7494 9684 11241 14526 14822 14988 21789 22233 22482 29052 29644 33723 43578 44466 44964 65367 66699 67446 87156 88932 101169 130734 133398 134892 200097 202338 261468 266796 303507 335981 400194 404676 600291 607014 671962 800388 1007943 1200582 1214028 1343924 1800873 1993559 2015886 2401164 3023829 3601746 3987118 4031772 5980677 6047658 7203492 7974236 9071487 9256339 11961354 12095316 17942031 18142974 18512678 23922708 27214461 27769017 35884062 36285948 37025356 53826093 54428922 55538034 71768124 81643383 83307051 107652186 108857844 111076068 161478279 163286766 166614102 215304372 249921153 322956558 326573532 333228204 484434837 499842306 645913116 749763459 968869674 999684612 1499526918 1937739348 2249290377 2489955191 2999053836 4498580754 4979910382 7469865573 8997161508 9959820764 14939731146 22409596719 29879462292 44819193438 67228790157 89638386876 134457580314 201686370471 268915160628 403372740942 605059111413 806745481884 1210118222826 2420236445652