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152016711388152 = 233134311331001147
BaseRepresentation
bin100010100100001000100110…
…000101010000101111111000
3201221020122200222202010021120
4202210020212011100233320
5124411120211103410102
61255151302500105240
744006562551543622
oct4244104605205770
9657218628663246
10152016711388152
1144489a1a569336
1215071a35095220
1366a9164382230
1429779104dbc12
1512894845c46bc
hex8a4226150bf8

152016711388152 has 64 divisors (see below), whose sum is σ = 418793802430080. Its totient is φ = 45686596620672.

The previous prime is 152016711388093. The next prime is 152016711388153. The reversal of 152016711388152 is 251883117610251.

It is a junction number, because it is equal to n+sod(n) for n = 152016711388095 and 152016711388104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152016711388153) by changing a digit.

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, 5665487158 + ... + 5665513989.

It is an arithmetic number, because the mean of its divisors is an integer number (6543653162970).

Almost surely, 2152016711388152 is an apocalyptic number.

152016711388152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152016711388152 is an abundant number, since it is smaller than the sum of its proper divisors (266777091041928).

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

152016711388152 is a wasteful number, since it uses less digits than its factorization.

152016711388152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11331001212 (or 11331001208 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 51.

The spelling of 152016711388152 in words is "one hundred fifty-two trillion, sixteen billion, seven hundred eleven million, three hundred eighty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1677 2236 3354 4472 6708 13416 11331001147 22662002294 33993003441 45324004588 67986006882 90648009176 135972013764 147303014911 271944027528 294606029822 441909044733 487233049321 589212059644 883818089466 974466098642 1178424119288 1461699147963 1767636178932 1948932197284 2923398295926 3535272357864 3897864394568 5846796591852 6334029641173 11693593183704 12668059282346 19002088923519 25336118564692 38004177847038 50672237129384 76008355694076 152016711388152