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172140060200 = 23526115499109
BaseRepresentation
bin1010000001010001011…
…0001101111000101000
3121110022201220002211012
42200110112031320220
510310020323411300
6211025142523052
715302535240503
oct2402426157050
9543281802735
10172140060200
1167005638069
1229441436488
131330442ccb4
14848dd9013a
154727677435
hex281458de28

172140060200 has 96 divisors (see below), whose sum is σ = 407094015000. Its totient is φ = 67676083200.

The previous prime is 172140060149. The next prime is 172140060203. The reversal of 172140060200 is 2060041271.

It can be written as a sum of positive squares in 12 ways, for example, as 20798831524 + 151341228676 = 144218^2 + 389026^2 .

It is not an unprimeable number, because it can be changed into a prime (172140060203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18893246 + ... + 18902354.

Almost surely, 2172140060200 is an apocalyptic number.

172140060200 is a gapful number since it is divisible by the number (10) 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 172140060200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203547007500).

172140060200 is an abundant number, since it is smaller than the sum of its proper divisors (234953954800).

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

172140060200 is a wasteful number, since it uses less digits than its factorization.

172140060200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10735 (or 10726 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The spelling of 172140060200 in words is "one hundred seventy-two billion, one hundred forty million, sixty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 1549 2440 3050 3098 6100 6196 7745 9109 12200 12392 15490 18218 30980 36436 38725 45545 61960 72872 77450 91090 94489 154900 182180 188978 227725 309800 364360 377956 455450 472445 555649 755912 910900 944890 1111298 1821800 1889780 2222596 2362225 2778245 3779560 4445192 4724450 5556490 9448900 11112980 13891225 14109841 18897800 22225960 27782450 28219682 55564900 56439364 70549205 111129800 112878728 141098410 282196820 352746025 564393640 705492050 860700301 1410984100 1721400602 2821968200 3442801204 4303501505 6885602408 8607003010 17214006020 21517507525 34428012040 43035015050 86070030100 172140060200