Search a number
-
+
152120775716721 = 33717233203199149
BaseRepresentation
bin100010100101101001100000…
…110011001010111101110001
3201221121121022102010202012000
4202211221200303022331301
5124414321322040413341
61255311153011524213
744020235430001560
oct4245514063127561
9657547272122160
10152120775716721
114451a071125669
121508a037bb9669
1366b5c09c17606
14297c983259bd7
15128c02553e8b6
hex8a5a60ccaf71

152120775716721 has 64 divisors (see below), whose sum is σ = 273879942336000. Its totient is φ = 81461725636608.

The previous prime is 152120775716681. The next prime is 152120775716729. The reversal of 152120775716721 is 127617577021251.

152120775716721 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 2 + 0 + 7 + 7 + 571 + 67 + 2 + 1 = 666.

It is not a de Polignac number, because 152120775716721 - 211 = 152120775714673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152120775716729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100850946 + ... + 102348203.

It is an arithmetic number, because the mean of its divisors is an integer number (4279374099000).

Almost surely, 2152120775716721 is an apocalyptic number.

It is an amenable number.

152120775716721 is a deficient number, since it is larger than the sum of its proper divisors (121759166619279).

152120775716721 is a wasteful number, since it uses less digits than its factorization.

152120775716721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203199415 (or 203199409 counting only the distinct ones).

The product of its (nonzero) digits is 2881200, while the sum is 54.

The spelling of 152120775716721 in words is "one hundred fifty-two trillion, one hundred twenty billion, seven hundred seventy-five million, seven hundred sixteen thousand, seven hundred twenty-one".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 233 357 459 699 1071 1631 2097 3213 3961 4893 6291 11883 14679 27727 35649 44037 83181 106947 249543 748629 203199149 609597447 1422394043 1828792341 3454385533 4267182129 5486377023 10363156599 12801546387 24180698731 31089469797 38404639161 47345401717 72542096193 93268409391 142036205151 217626288579 331417812019 426108615453 652878865737 804871829189 994253436057 1278325846359 2414615487567 2982760308171 5634102804323 7243846462701 8948280924513 16902308412969 21731539388103 50706925238907 152120775716721