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41655413664 = 2532672158759
BaseRepresentation
bin100110110010110110…
…110010101110100000
310222112001000021010200
4212302312302232200
51140302241214124
631045232025200
73003155113464
oct466266625640
9128461007120
1041655413664
1116736438907
1280a6392200
133c0b01a887
1420323a84a4
15113becebc9
hex9b2db2ba0

41655413664 has 72 divisors (see below), whose sum is σ = 120225661920. Its totient is φ = 13677890688.

The previous prime is 41655413663. The next prime is 41655413869. The reversal of 41655413664 is 46631455614.

41655413664 is a `hidden beast` number, since 4 + 1 + 6 + 554 + 1 + 36 + 64 = 666.

41655413664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (41655413663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1060084 + ... + 1098675.

It is an arithmetic number, because the mean of its divisors is an integer number (1669800860).

Almost surely, 241655413664 is an apocalyptic number.

It is an amenable number.

41655413664 is an abundant number, since it is smaller than the sum of its proper divisors (78570248256).

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

41655413664 is a wasteful number, since it uses less digits than its factorization.

41655413664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158842 (or 2158831 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 41655413664 in words is "forty-one billion, six hundred fifty-five million, four hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 3216 4824 6432 9648 19296 2158759 4317518 6476277 8635036 12952554 17270072 19428831 25905108 34540144 38857662 51810216 69080288 77715324 103620432 144636853 155430648 207240864 289273706 310861296 433910559 578547412 621722592 867821118 1157094824 1301731677 1735642236 2314189648 2603463354 3471284472 4628379296 5206926708 6942568944 10413853416 13885137888 20827706832 41655413664