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165665904640 = 211531521881
BaseRepresentation
bin1001101001001001110…
…1010001100000000000
3120211121112121220222221
42122102131101200000
510203240432422030
6204034511140424
714653232645425
oct2322235214000
9524545556887
10165665904640
11642930a2185
1228135214714
131281205a812
1480381d5d4c
1544990cde7a
hex2692751800

165665904640 has 96 divisors (see below), whose sum is σ = 410324503680. Its totient is φ = 64128614400.

The previous prime is 165665904631. The next prime is 165665904647. The reversal of 165665904640 is 46409566561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165665904647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56500 + ... + 578380.

It is an arithmetic number, because the mean of its divisors is an integer number (4274213580).

Almost surely, 2165665904640 is an apocalyptic number.

165665904640 is a gapful number since it is divisible by the number (10) 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 165665904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205162251840).

165665904640 is an abundant number, since it is smaller than the sum of its proper divisors (244658599040).

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

165665904640 is an equidigital number, since it uses as much as digits as its factorization.

165665904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521939 (or 521919 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 52.

The spelling of 165665904640 in words is "one hundred sixty-five billion, six hundred sixty-five million, nine hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 512 620 640 992 1024 1240 1280 1984 2048 2480 2560 3968 4960 5120 7936 9920 10240 15872 19840 31744 39680 63488 79360 158720 317440 521881 1043762 2087524 2609405 4175048 5218810 8350096 10437620 16178311 16700192 20875240 32356622 33400384 41750480 64713244 66800768 80891555 83500960 129426488 133601536 161783110 167001920 258852976 267203072 323566220 334003840 517705952 534406144 647132440 668007680 1035411904 1068812288 1294264880 1336015360 2070823808 2588529760 2672030720 4141647616 5177059520 5344061440 8283295232 10354119040 16566590464 20708238080 33133180928 41416476160 82832952320 165665904640