Search a number
-
+
21611245574424 = 23311179674979669
BaseRepresentation
bin1001110100111110000101…
…00111011001100100011000
32211112000101212021100122110
410322133002213121210120
510313034312331340144
6113544022534352320
74360234545312132
oct472370247314430
984460355240573
1021611245574424
1169823067a4a90
1225104a24bb6a0
13c09c15c8760c
14549dc02a2052
152772588670b9
hex13a7c29d9918

21611245574424 has 128 divisors (see below), whose sum is σ = 62471354457600. Its totient is φ = 6157259888640.

The previous prime is 21611245574371. The next prime is 21611245574431. The reversal of 21611245574424 is 42447554211612.

It is a super-3 number, since 3×216112455744243 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1850062 + ... + 6829730.

It is an arithmetic number, because the mean of its divisors is an integer number (488057456700).

Almost surely, 221611245574424 is an apocalyptic number.

21611245574424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21611245574424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31235677228800).

21611245574424 is an abundant number, since it is smaller than the sum of its proper divisors (40860108883176).

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

21611245574424 is a wasteful number, since it uses less digits than its factorization.

21611245574424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4980673 (or 4980669 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 48.

The spelling of 21611245574424 in words is "twenty-one trillion, six hundred eleven billion, two hundred forty-five million, five hundred seventy-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 967 1122 1496 1934 2244 2901 3868 4488 5802 7736 10637 11604 16439 21274 23208 31911 32878 42548 49317 63822 65756 85096 98634 127644 131512 180829 197268 255288 361658 394536 542487 723316 1084974 1446632 2169948 4339896 4979669 9959338 14939007 19918676 29878014 39837352 54776359 59756028 84654373 109552718 119512056 164329077 169308746 219105436 253963119 328658154 338617492 438210872 507926238 657316308 677234984 931198103 1015852476 1314632616 1862396206 2031704952 2793594309 3724792412 4815339923 5587188618 7449584824 9630679846 11174377236 14446019769 19261359692 22348754472 28892039538 38522719384 52968739153 57784079076 81860778691 105937478306 115568158152 158906217459 163721557382 211874956612 245582336073 317812434918 327443114764 423749913224 491164672146 635624869836 654886229528 900468565601 982329344292 1271249739672 1800937131202 1964658688584 2701405696803 3601874262404 5402811393606 7203748524808 10805622787212 21611245574424