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172242260736 = 2837131926827
BaseRepresentation
bin1010000001101001110…
…0000101001100000000
3121110120212012102121020
42200122130011030000
510310223004320421
6211043233225440
715305216026320
oct2403234051400
9543525172536
10172242260736
11670582a1917
122946b702280
131331c6642a0
14849d795280
154731613dc6
hex281a705300

172242260736 has 432 divisors, whose sum is σ = 595548866304. Its totient is φ = 43029356544.

The previous prime is 172242260719. The next prime is 172242260783. The reversal of 172242260736 is 637062242271.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25226155 + ... + 25232981.

Almost surely, 2172242260736 is an apocalyptic number.

172242260736 is a gapful number since it is divisible by the number (16) 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 172242260736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297774433152).

172242260736 is an abundant number, since it is smaller than the sum of its proper divisors (423306605568).

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

172242260736 is a wasteful number, since it uses less digits than its factorization.

172242260736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6904 (or 6871 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 172242260736 in words is "one hundred seventy-two billion, two hundred forty-two million, two hundred sixty thousand, seven hundred thirty-six".