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2166009406632 = 233418379181871
BaseRepresentation
bin11111100001010000001…
…110001010010010101000
321200001211220211111010000
4133201100032022102220
5240441441402003012
64335015002423000
7312326506115151
oct37412016122250
97601756744100
102166009406632
1176566592a105
122ab954201a60
1312933b8114b6
1476b9a540928
153b52230eddc
hex1f85038a4a8

2166009406632 has 80 divisors (see below), whose sum is σ = 6067195358400. Its totient is φ = 721959881760.

The previous prime is 2166009406607. The next prime is 2166009406637. The reversal of 2166009406632 is 2366049006612.

2166009406632 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 0 + 0 + 9 + 4 + 0 + 6 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (2166009406637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11818657 + ... + 12000527.

It is an arithmetic number, because the mean of its divisors is an integer number (75839941980).

Almost surely, 22166009406632 is an apocalyptic number.

It is an amenable number.

2166009406632 is an abundant number, since it is smaller than the sum of its proper divisors (3901185951768).

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

2166009406632 is a wasteful number, since it uses less digits than its factorization.

2166009406632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200268 (or 200255 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 2166009406632 in words is "two trillion, one hundred sixty-six billion, nine million, four hundred six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 18379 36758 55137 73516 110274 147032 165411 181871 220548 330822 363742 441096 496233 545613 661644 727484 992466 1091226 1323288 1454968 1488699 1636839 1984932 2182452 2977398 3273678 3969864 4364904 4910517 5954796 6547356 9821034 11909592 13094712 14731551 19642068 29463102 39284136 58926204 117852408 3342607109 6685214218 10027821327 13370428436 20055642654 26740856872 30083463981 40111285308 60166927962 80222570616 90250391943 120333855924 180500783886 240667711848 270751175829 361001567772 541502351658 722003135544 1083004703316 2166009406632