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152056383480 = 233254110301923
BaseRepresentation
bin1000110110011101000…
…1000100011111111000
3112112111001220121200200
42031213101010133320
54442402413232410
6153504224002200
713662045635241
oct2154721043770
9475431817620
10152056383480
1159539956531
1225577460360
1311453608611
147506925cc8
153e4e3cd3c0
hex23674447f8

152056383480 has 96 divisors (see below), whose sum is σ = 506236545360. Its totient is φ = 39559380480.

The previous prime is 152056383473. The next prime is 152056383481. The reversal of 152056383480 is 84383650251.

152056383480 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 5 + 638 + 3 + 4 + 8 + 0 = 666.

152056383480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1520563834802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152056383481) 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 23 ways as a sum of consecutive naturals, for example, 5136202 + ... + 5165721.

Almost surely, 2152056383480 is an apocalyptic number.

152056383480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152056383480 is an abundant number, since it is smaller than the sum of its proper divisors (354180161880).

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

152056383480 is a wasteful number, since it uses less digits than its factorization.

152056383480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10301981 (or 10301974 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 152056383480 in words is "one hundred fifty-two billion, fifty-six million, three hundred eighty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 10301923 20603846 30905769 41207692 51509615 61811538 82415384 92717307 103019230 123623076 154528845 185434614 206038460 247246152 309057690 370869228 412076920 422378843 463586535 618115380 741738456 844757686 927173070 1236230760 1267136529 1689515372 1854346140 2111894215 2534273058 3379030744 3708692280 3801409587 4223788430 5068546116 6335682645 7602819174 8447576860 10137092232 12671365290 15205638348 16895153720 19007047935 25342730580 30411276696 38014095870 50685461160 76028191740 152056383480