Search a number
-
+
151158483840 = 27357131750891
BaseRepresentation
bin1000110011000110111…
…1110110101110000000
3112110011111100120221110
42030301233312232000
54434033032440330
6153235150523320
713630563625110
oct2146157665600
9473144316843
10151158483840
1159119029211
1225366806540
131133c598c60
14745d595040
153dea668db0
hex2331bf6b80

151158483840 has 512 divisors, whose sum is σ = 627901424640. Its totient is φ = 30016143360.

The previous prime is 151158483821. The next prime is 151158483997. The reversal of 151158483840 is 48384851151.

151158483840 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 2×1511584838402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 151158483840.

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 63 ways as a sum of consecutive naturals, for example, 2944795 + ... + 2995685.

It is an arithmetic number, because the mean of its divisors is an integer number (1226369970).

Almost surely, 2151158483840 is an apocalyptic number.

151158483840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151158483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313950712320).

151158483840 is an abundant number, since it is smaller than the sum of its proper divisors (476742940800).

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

151158483840 is a wasteful number, since it uses less digits than its factorization.

151158483840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50950 (or 50938 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 48.

The spelling of 151158483840 in words is "one hundred fifty-one billion, one hundred fifty-eight million, four hundred eighty-three thousand, eight hundred forty".