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155691196956 = 2233192931372281
BaseRepresentation
bin1001000011111111101…
…0110010001000011100
3112212212101110021102000
42100333322302020130
510022323421300311
6155305030402300
714151113224131
oct2207772621034
9485771407360
10155691196956
1160034692709
1226210800390
13118b2687619
14776d578588
1540b356a056
hex243feb221c

155691196956 has 384 divisors, whose sum is σ = 466185216000. Its totient is φ = 44677785600.

The previous prime is 155691196933. The next prime is 155691196961. The reversal of 155691196956 is 659691196551.

155691196956 is a `hidden beast` number, since 1 + 5 + 569 + 1 + 1 + 9 + 69 + 5 + 6 = 666.

155691196956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 155691196893 and 155691196902.

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 127 ways as a sum of consecutive naturals, for example, 68254536 + ... + 68256816.

It is an arithmetic number, because the mean of its divisors is an integer number (1214024000).

Almost surely, 2155691196956 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 155691196956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233092608000).

155691196956 is an abundant number, since it is smaller than the sum of its proper divisors (310494019044).

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

155691196956 is a wasteful number, since it uses less digits than its factorization.

155691196956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2402 counting only the distinct ones).

The product of its digits is 19683000, while the sum is 63.

The spelling of 155691196956 in words is "one hundred fifty-five billion, six hundred ninety-one million, one hundred ninety-six thousand, nine hundred fifty-six".