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18060000156 = 223211196433733
BaseRepresentation
bin10000110100011101…
…011011101110011100
31201121122002001202200
4100310131123232130
5243441330001111
612144024251500
71206354316452
oct206435335634
951548061680
1018060000156
117728443470
123600310b90
13191a7aa633
14c347a89d2
1570a7ab256
hex43475bb9c

18060000156 has 144 divisors (see below), whose sum is σ = 52518560640. Its totient is φ = 5175239040.

The previous prime is 18060000097. The next prime is 18060000173. The reversal of 18060000156 is 65100006081.

18060000156 is a `hidden beast` number, since 1 + 8 + 0 + 600 + 0 + 0 + 1 + 56 = 666.

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 47 ways as a sum of consecutive naturals, for example, 4836066 + ... + 4839798.

Almost surely, 218060000156 is an apocalyptic number.

It is a pronic number, being equal to 134387×134388.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18060000156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26259280320).

18060000156 is an abundant number, since it is smaller than the sum of its proper divisors (34458560484).

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

18060000156 is a wasteful number, since it uses less digits than its factorization.

18060000156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 18060000156 in words is "eighteen billion, sixty million, one hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 643 684 836 1254 1286 1881 1929 2508 2572 3733 3762 3858 5787 7073 7466 7524 7716 11199 11574 12217 14146 14932 21219 22398 23148 24434 28292 33597 36651 41063 42438 44796 48868 63657 67194 70927 73302 82126 84876 109953 123189 127314 134387 134388 141854 146604 164252 212781 219906 246378 254628 268774 283708 369567 403161 425562 439812 492756 537548 638343 739134 780197 806322 851124 1209483 1276686 1478268 1560394 1612644 2340591 2400319 2418966 2553372 3120788 4681182 4800638 4837932 7021773 7200957 9362364 9601276 14043546 14401914 21602871 26403509 28087092 28803828 43205742 45606061 52807018 79210527 86411484 91212122 105614036 136818183 158421054 182424244 237631581 273636366 316842108 410454549 475263162 501666671 547272732 820909098 950526324 1003333342 1505000013 1641818196 2006666684 3010000026 4515000039 6020000052 9030000078 18060000156