Search a number
-
+
33563420664 = 23353137192601
BaseRepresentation
bin11111010000100010…
…010010011111111000
310012122002111102120020
4133100202102133320
51022214213430124
623230244330440
72265506240244
oct372042223770
9105562442506
1033563420664
1113263748794
1266083a3a20
13321b708637
1418a57d5424
15d168b2379
hex7d08927f8

33563420664 has 64 divisors (see below), whose sum is σ = 86116206240. Its totient is φ = 10896537600.

The previous prime is 33563420641. The next prime is 33563420741. The reversal of 33563420664 is 46602436533.

It is a super-2 number, since 2×335634206642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77964 + ... + 270564.

Almost surely, 233563420664 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 33563420664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43058103120).

33563420664 is an abundant number, since it is smaller than the sum of its proper divisors (52552785576).

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

33563420664 is a wasteful number, since it uses less digits than its factorization.

33563420664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192800 (or 192796 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 42.

The spelling of 33563420664 in words is "thirty-three billion, five hundred sixty-three million, four hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 137 159 212 274 318 411 424 548 636 822 1096 1272 1644 3288 7261 14522 21783 29044 43566 58088 87132 174264 192601 385202 577803 770404 1155606 1540808 2311212 4622424 10207853 20415706 26386337 30623559 40831412 52772674 61247118 79159011 81662824 105545348 122494236 158318022 211090696 244988472 316636044 633272088 1398475861 2796951722 4195427583 5593903444 8390855166 11187806888 16781710332 33563420664