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155742121376 = 2553241737993
BaseRepresentation
bin1001000100001011110…
…1000010110110100000
3112212222221021111120122
42101002331002312200
510022424440341001
6155314050055412
714152302121622
oct2210275026640
9485887244518
10155742121376
1160060404a06
122622587a568
13118c00a770a
147776232c12
1540b7c78b1b
hex2442f42da0

155742121376 has 48 divisors (see below), whose sum is σ = 312540011784. Its totient is φ = 76368175104.

The previous prime is 155742121373. The next prime is 155742121433. The reversal of 155742121376 is 673121247551.

It can be written as a sum of positive squares in 4 ways, for example, as 142941461776 + 12800659600 = 378076^2 + 113140^2 .

It is a super-2 number, since 2×1557421213762 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (155742121373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4080236 + ... + 4118228.

Almost surely, 2155742121376 is an apocalyptic number.

155742121376 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 155742121376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156270005892).

155742121376 is an abundant number, since it is smaller than the sum of its proper divisors (156797890408).

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

155742121376 is a wasteful number, since it uses less digits than its factorization.

155742121376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40473 (or 40465 counting only the distinct ones).

The product of its digits is 352800, while the sum is 44.

The spelling of 155742121376 in words is "one hundred fifty-five billion, seven hundred forty-two million, one hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 2417 4834 9668 19336 37993 38672 75986 77344 128101 151972 256202 303944 512404 607888 1024808 1215776 2013629 2049616 4027258 4099232 8054516 16109032 32218064 64436128 91829081 183658162 367316324 734632648 1469265296 2938530592 4866941293 9733882586 19467765172 38935530344 77871060688 155742121376