Search a number
-
+
544990156032 = 28371376771093
BaseRepresentation
bin1111110111000111111…
…00011101010100000000
31221002201022010102220210
413323203330131110000
532412114434443112
61054210502234120
754242235615120
oct7734374352400
91832638112823
10544990156032
111a014680a633
1289758125940
133c513cc338a
141c54044cc80
15e29a779b3c
hex7ee3f1d500

544990156032 has 288 divisors, whose sum is σ = 1673774629632. Its totient is φ = 154205356032.

The previous prime is 544990156031. The next prime is 544990156093. The reversal of 544990156032 is 230651099445.

It is a super-3 number, since 3×5449901560323 (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544990156031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498618078 + ... + 498619170.

It is an arithmetic number, because the mean of its divisors is an integer number (5811717464).

Almost surely, 2544990156032 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 544990156032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836887314816).

544990156032 is an abundant number, since it is smaller than the sum of its proper divisors (1128784473600).

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

544990156032 is a wasteful number, since it uses less digits than its factorization.

544990156032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 544990156032 in words is "five hundred forty-four billion, nine hundred ninety million, one hundred fifty-six thousand, thirty-two".