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172023047653140 = 223251841335190181
BaseRepresentation
bin100111000111010000111100…
…101001100000011100010100
3211120002020112222000020110100
4213013100330221200130110
5140021411200144400030
61405510144102254100
751143153325134355
oct4707207451403424
9746066488006410
10172023047653140
114a8a2623850002
1217363276727330
1374ca91c2b9298
143069d6209bd2c
1514d4aaa867360
hex9c743ca60714

172023047653140 has 72 divisors (see below), whose sum is σ = 521806178923848. Its totient is φ = 45872554740480.

The previous prime is 172023047653027. The next prime is 172023047653153. The reversal of 172023047653140 is 41356740320271.

It is a happy number.

172023047653140 is a `hidden beast` number, since 1 + 7 + 2 + 0 + 2 + 3 + 0 + 4 + 76 + 531 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71083008793476 + 100940038859664 = 8431074^2 + 10046892^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30548850 + ... + 35739030.

It is an arithmetic number, because the mean of its divisors is an integer number (7247308040609).

Almost surely, 2172023047653140 is an apocalyptic number.

172023047653140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172023047653140 is an abundant number, since it is smaller than the sum of its proper divisors (349783131270708).

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

172023047653140 is a wasteful number, since it uses less digits than its factorization.

172023047653140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5374329 (or 5374324 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 172023047653140 in words is "one hundred seventy-two trillion, twenty-three billion, forty-seven million, six hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 184133 368266 552399 736532 920665 1104798 1657197 1841330 2209596 2761995 3314394 3682660 5190181 5523990 6628788 8285985 10380362 11047980 15570543 16571970 20760724 25950905 31141086 33143940 46711629 51901810 62282172 77852715 93423258 103803620 155705430 186846516 233558145 311410860 467116290 934232580 955683598073 1911367196146 2867050794219 3822734392292 4778417990365 5734101588438 8601152382657 9556835980730 11468203176876 14335253971095 17202304765314 19113671961460 28670507942190 34404609530628 43005761913285 57341015884380 86011523826570 172023047653140