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162148085232 = 2437796108653
BaseRepresentation
bin1001011100000011000…
…1110110110111110000
3120111112101020011222020
42113000301312313300
510124034402211412
6202253444111440
714500115661240
oct2270061666760
9514471204866
10162148085232
1162848404411
1227513095580
13123a12c2483
147bc2d19b20
15434035218c
hex25c0c76df0

162148085232 has 80 divisors (see below), whose sum is σ = 484782781440. Its totient is φ = 45741586176.

The previous prime is 162148085221. The next prime is 162148085251. The reversal of 162148085232 is 232580841261.

162148085232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3027783 + ... + 3080870.

It is an arithmetic number, because the mean of its divisors is an integer number (6059784768).

Almost surely, 2162148085232 is an apocalyptic number.

162148085232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

162148085232 is an abundant number, since it is smaller than the sum of its proper divisors (322634696208).

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

162148085232 is a wasteful number, since it uses less digits than its factorization.

162148085232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108750 (or 6108744 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 162148085232 in words is "one hundred sixty-two billion, one hundred forty-eight million, eighty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 632 948 1106 1264 1659 1896 2212 3318 3792 4424 6636 8848 13272 26544 6108653 12217306 18325959 24434612 36651918 42760571 48869224 73303836 85521142 97738448 128281713 146607672 171042284 256563426 293215344 342084568 482583587 513126852 684169136 965167174 1026253704 1447750761 1930334348 2052507408 2895501522 3378085109 3860668696 5791003044 6756170218 7721337392 10134255327 11582006088 13512340436 20268510654 23164012176 27024680872 40537021308 54049361744 81074042616 162148085232