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151101506556 = 2232711135971069
BaseRepresentation
bin1000110010111001011…
…0100000001111111100
3112110000112010211210200
42030232112200033330
54433423441202211
6153225353403500
713626302420430
oct2145626401774
9473015124720
10151101506556
1159099952350
122534b709590
1311330839aa0
147455ba29c0
153de5661b56
hex232e5a03fc

151101506556 has 288 divisors, whose sum is σ = 521528716800. Its totient is φ = 35613596160.

The previous prime is 151101506531. The next prime is 151101506561. The reversal of 151101506556 is 655605101151.

It is a happy number.

151101506556 is a `hidden beast` number, since 1 + 51 + 1 + 0 + 1 + 50 + 6 + 556 = 666.

151101506556 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 2×1511015065562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 151101506556.

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 95 ways as a sum of consecutive naturals, for example, 2090590 + ... + 2161658.

It is an arithmetic number, because the mean of its divisors is an integer number (1810863600).

Almost surely, 2151101506556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151101506556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260764358400).

151101506556 is an abundant number, since it is smaller than the sum of its proper divisors (370427210244).

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

151101506556 is a wasteful number, since it uses less digits than its factorization.

151101506556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71169 (or 71164 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 151101506556 in words is "one hundred fifty-one billion, one hundred one million, five hundred six thousand, five hundred fifty-six".