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155054140685136 = 2432721121729794663
BaseRepresentation
bin100011010000010101011010…
…111110011111101101010000
3202100000000211122211200122100
4203100111122332133231100
5130310401340003411021
61305434515555240400
744442202102560600
oct4320253276375520
9670000748750570
10155054140685136
1145450101188900
1215482645ba9100
1368697094ab734
142a409363c8c00
1512dd4a9caa626
hex8d055af9fb50

155054140685136 has 2160 divisors, whose sum is σ = 615564876326400. Its totient is φ = 36126683873280.

The previous prime is 155054140685071. The next prime is 155054140685137. The reversal of 155054140685136 is 631586041450551.

It is a happy number.

155054140685136 is a `hidden beast` number, since 1 + 5 + 5 + 0 + 54 + 14 + 0 + 68 + 513 + 6 = 666.

It is a super-3 number, since 3×1550541406851363 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155054140685137) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 33252011541 + ... + 33252016203.

It is an arithmetic number, because the mean of its divisors is an integer number (284983739040).

Almost surely, 2155054140685136 is an apocalyptic number.

155054140685136 is a gapful number since it is divisible by the number (16) 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 155054140685136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307782438163200).

155054140685136 is an abundant number, since it is smaller than the sum of its proper divisors (460510735641264).

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

155054140685136 is a wasteful number, since it uses less digits than its factorization.

155054140685136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 155054140685136 in words is "one hundred fifty-five trillion, fifty-four billion, one hundred forty million, six hundred eighty-five thousand, one hundred thirty-six".