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172400531400 = 23325295778073
BaseRepresentation
bin1010000010001111011…
…1110101011111001000
3121110222220000102010200
42200203313311133020
510311034014001100
6211111045412200
715312150223656
oct2404367653710
9543886012120
10172400531400
1167129672a19
12294b470a060
131334639a876
1484b67d3dd6
154740478e00
hex2823df57c8

172400531400 has 72 divisors (see below), whose sum is σ = 578978457330. Its totient is φ = 45973474560.

The previous prime is 172400531357. The next prime is 172400531467. The reversal of 172400531400 is 4135004271.

172400531400 is a `hidden beast` number, since 1 + 72 + 400 + 53 + 140 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 74106995076 + 98293536324 = 272226^2 + 313518^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47887237 + ... + 47890836.

Almost surely, 2172400531400 is an apocalyptic number.

172400531400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172400531400 is an abundant number, since it is smaller than the sum of its proper divisors (406577925930).

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

172400531400 is a wasteful number, since it uses less digits than its factorization.

172400531400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95778095 (or 95778083 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 172400531400 its reverse (4135004271), we get a palindrome (176535535671).

The spelling of 172400531400 in words is "one hundred seventy-two billion, four hundred million, five hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 95778073 191556146 287334219 383112292 478890365 574668438 766224584 862002657 957780730 1149336876 1436671095 1724005314 1915561460 2298673752 2394451825 2873342190 3448010628 3831122920 4310013285 4788903650 5746684380 6896021256 7183355475 8620026570 9577807300 11493368760 14366710950 17240053140 19155614600 21550066425 28733421900 34480106280 43100132850 57466843800 86200265700 172400531400