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166132212420 = 223529671425049
BaseRepresentation
bin1001101010111001000…
…0000110001011000100
3120212211001001211000110
42122232100012023010
510210214321244140
6204153045513020
715000624335346
oct2325620061304
9525731054013
10166132212420
1164502337109
1228245412770
1312887847195
1480800db296
1544c4ede380
hex26ae4062c4

166132212420 has 96 divisors (see below), whose sum is σ = 488393136000. Its totient is φ = 42135819264.

The previous prime is 166132212419. The next prime is 166132212461. The reversal of 166132212420 is 24212231661.

It is a super-3 number, since 3×1661322124203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 595945 + ... + 829104.

It is an arithmetic number, because the mean of its divisors is an integer number (5087428500).

Almost surely, 2166132212420 is an apocalyptic number.

166132212420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166132212420 is an abundant number, since it is smaller than the sum of its proper divisors (322260923580).

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

166132212420 is a wasteful number, since it uses less digits than its factorization.

166132212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425157 (or 1425155 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 166132212420 in words is "one hundred sixty-six billion, one hundred thirty-two million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 67 87 116 134 145 174 201 268 290 335 348 402 435 580 670 804 870 1005 1340 1740 1943 2010 3886 4020 5829 7772 9715 11658 19430 23316 29145 38860 58290 116580 1425049 2850098 4275147 5700196 7125245 8550294 14250490 17100588 21375735 28500980 41326421 42751470 82652842 85502940 95478283 123979263 165305684 190956566 206632105 247958526 286434849 381913132 413264210 477391415 495917052 572869698 619896315 826528420 954782830 1145739396 1239792630 1432174245 1909565660 2479585260 2768870207 2864348490 5537740414 5728696980 8306610621 11075480828 13844351035 16613221242 27688702070 33226442484 41533053105 55377404140 83066106210 166132212420