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872225203423680 = 26335100951991137
BaseRepresentation
bin1100011001010010001100000…
…1011010100000100111000000
311020101021220201002222010012000
43012110203001122200213000
51403311014204034024210
612331022420553304000
7351502122435351321
oct30624430132404700
94211256632863160
10872225203423680
11232a106a4517667
12819ab107a05000
132b58c639a74982
1411555cd4666448
156ac88a4b5aac0
hex31948c16a09c0

872225203423680 has 112 divisors (see below), whose sum is σ = 3077016689886240. Its totient is φ = 232593387577344.

The previous prime is 872225203423661. The next prime is 872225203423681. The reversal of 872225203423680 is 86324302522278.

872225203423680 is a `hidden beast` number, since 8 + 7 + 2 + 2 + 2 + 5 + 203 + 423 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872225203423681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50475986929 + ... + 50476004208.

Almost surely, 2872225203423680 is an apocalyptic number.

872225203423680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

872225203423680 is an abundant number, since it is smaller than the sum of its proper divisors (2204791486462560).

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

872225203423680 is a wasteful number, since it uses less digits than its factorization.

872225203423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100951991163 (or 100951991147 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 872225203423680 in words is "eight hundred seventy-two trillion, two hundred twenty-five billion, two hundred three million, four hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 100951991137 201903982274 302855973411 403807964548 504759955685 605711946822 807615929096 908567920233 1009519911370 1211423893644 1514279867055 1615231858192 1817135840466 2019039822740 2422847787288 2725703760699 3028559734110 3230463716384 3634271680932 4038079645480 4542839601165 4845695574576 5451407521398 6057119468220 6460927432768 7268543361864 8076159290960 9085679202330 9691391149152 10902815042796 12114238936440 13628518803495 14537086723728 16152318581920 18171358404660 19382782298304 21805630085592 24228477872880 27257037606990 29074173447456 32304637163840 36342716809320 43611260171184 48456955745760 54514075213980 58148346894912 72685433618640 87222520342368 96913911491520 109028150427960 145370867237280 174445040684736 218056300855920 290741734474560 436112601711840 872225203423680