Search a number
-
+
155756748672 = 27327293747383
BaseRepresentation
bin1001000100001111010…
…0110101111110000000
3112220000221210122110100
42101003310311332000
510022442211424142
6155315331402400
714152540343040
oct2210364657600
9486027718410
10155756748672
1160068695688
122622a753400
13118c3129515
14777815d720
1540b91b7b4c
hex2443d35f80

155756748672 has 768 divisors, whose sum is σ = 557250969600. Its totient is φ = 40809775104.

The previous prime is 155756748607. The next prime is 155756748677. The reversal of 155756748672 is 276847657551.

It is a happy number.

155756748672 is a `hidden beast` number, since 1 + 5 + 5 + 7 + 567 + 4 + 8 + 67 + 2 = 666.

155756748672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155756748677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406675393 + ... + 406675775.

It is an arithmetic number, because the mean of its divisors is an integer number (725587200).

Almost surely, 2155756748672 is an apocalyptic number.

155756748672 is a gapful number since it is divisible by the number (12) 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 155756748672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278625484800).

155756748672 is an abundant number, since it is smaller than the sum of its proper divisors (401494220928).

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

155756748672 is a wasteful number, since it uses less digits than its factorization.

155756748672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 508 counting only the distinct ones).

The product of its digits is 98784000, while the sum is 63.

The spelling of 155756748672 in words is "one hundred fifty-five billion, seven hundred fifty-six million, seven hundred forty-eight thousand, six hundred seventy-two".