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427527268372864 = 271123131100777141
BaseRepresentation
bin110000100110101010111001…
…0111101101001000110000000
32002001202012121102011011211001
41201031111302331221012000
5422014101321200412424
64113135152105501344
7156023553155313352
oct14115256275510600
92061665542134731
10427527268372864
11114250329424610
123bb497951a1854
1315472857761a3a
1477806046630d2
153465e731de844
hex184d572f69180

427527268372864 has 128 divisors (see below), whose sum is σ = 976941676719360. Its totient is φ = 184462477056000.

The previous prime is 427527268372849. The next prime is 427527268372909. The reversal of 427527268372864 is 468273862725724.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46146267 + ... + 54630874.

It is an arithmetic number, because the mean of its divisors is an integer number (7632356849370).

Almost surely, 2427527268372864 is an apocalyptic number.

427527268372864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

427527268372864 is an abundant number, since it is smaller than the sum of its proper divisors (549414408346496).

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

427527268372864 is a wasteful number, since it uses less digits than its factorization.

427527268372864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100777320 (or 100777308 counting only the distinct ones).

The product of its digits is 3034644480, while the sum is 73.

The spelling of 427527268372864 in words is "four hundred twenty-seven trillion, five hundred twenty-seven billion, two hundred sixty-eight million, three hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 131 176 184 253 262 352 368 506 524 704 736 1012 1048 1408 1441 1472 2024 2096 2882 2944 3013 4048 4192 5764 6026 8096 8384 11528 12052 16192 16768 23056 24104 32384 33143 46112 48208 66286 92224 96416 132572 184448 192832 265144 385664 530288 1060576 2121152 4242304 100777141 201554282 403108564 806217128 1108548551 1612434256 2217097102 2317874243 3224868512 4434194204 4635748486 6449737024 8868388408 9271496972 12899474048 13201805471 17736776816 18542993944 25496616673 26403610942 35473553632 37085987888 50993233346 52807221884 70947107264 74171975776 101986466692 105614443768 141894214528 145219860181 148343951552 203972933384 211228887536 290439720362 296687903104 303641525833 407945866768 422457775072 580879440724 607283051666 815891733536 844915550144 1161758881448 1214566103332 1631783467072 1689831100288 2323517762896 2429132206664 3263566934144 3340056784163 4647035525792 4858264413328 6680113568326 9294071051584 9716528826656 13360227136652 18588142103168 19433057653312 26720454273304 38866115306624 53440908546608 106881817093216 213763634186432 427527268372864