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2117432884 = 2272195411051
BaseRepresentation
bin111111000110101…
…0111011000110100
312110120022201212011
41332031113120310
513314030323014
6550035534004
7103320611500
oct17615273064
95416281764
102117432884
11997265736
124b115a304
132798b2988
14161307300
15c5d5c7c4
hex7e357634

2117432884 has 72 divisors (see below), whose sum is σ = 4550068320. Its totient is φ = 857304000.

The previous prime is 2117432881. The next prime is 2117432893. The reversal of 2117432884 is 4882347112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117432881) 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, 2014159 + ... + 2015209.

Almost surely, 22117432884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117432884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275034160).

2117432884 is an abundant number, since it is smaller than the sum of its proper divisors (2432635436).

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

2117432884 is a wasteful number, since it uses less digits than its factorization.

2117432884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1620 counting only the distinct ones).

The product of its digits is 86016, while the sum is 40.

The square root of 2117432884 is about 46015.5721902923. The cubic root of 2117432884 is about 1284.1129265042.

Adding to 2117432884 its reverse (4882347112), we get a palindrome (6999779996).

The spelling of 2117432884 in words is "two billion, one hundred seventeen million, four hundred thirty-two thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 532 541 931 1051 1082 1862 2102 2164 3724 3787 4204 7357 7574 10279 14714 15148 19969 20558 26509 29428 39938 41116 51499 53018 71953 79876 102998 106036 139783 143906 205996 279566 287812 503671 559132 568591 978481 1007342 1137182 1956962 2014684 2274364 3913924 3980137 7960274 10803229 15920548 21606458 27860959 43212916 55721918 75622603 111443836 151245206 302490412 529358221 1058716442 2117432884