Search a number
-
+
541975308891552 = 2534209095412381
BaseRepresentation
bin111101100111011000111010…
…1110000110111010110100000
32122001222100000010200020110000
41323032301311300313112200
51032014210413034012202
65200404004130540000
7222105265252536534
oct17316616560672640
92561870003606400
10541975308891552
1114776548a669478
1250952542437600
131a35508ac7b273
1497b9a60087bc4
15429d04cadd91c
hex1ecec75c375a0

541975308891552 has 60 divisors (see below), whose sum is σ = 1593934328587986. Its totient is φ = 180658436296320.

The previous prime is 541975308891551. The next prime is 541975308891553. The reversal of 541975308891552 is 255198803579145.

541975308891552 is a `hidden beast` number, since 5 + 4 + 1 + 9 + 7 + 530 + 8 + 89 + 1 + 5 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (541975308891551) and next prime (541975308891553).

It can be written as a sum of positive squares in only one way, i.e., 323169796501776 + 218805512389776 = 17976924^2 + 14792076^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (541975308891551) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 104547703599 + ... + 104547708782.

Almost surely, 2541975308891552 is an apocalyptic number.

It is an amenable number.

541975308891552 is an abundant number, since it is smaller than the sum of its proper divisors (1051959019696434).

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

541975308891552 is a wasteful number, since it uses less digits than its factorization.

541975308891552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209095412403 (or 209095412386 counting only the distinct ones).

The product of its (nonzero) digits is 544320000, while the sum is 72.

The spelling of 541975308891552 in words is "five hundred forty-one trillion, nine hundred seventy-five billion, three hundred eight million, eight hundred ninety-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 209095412381 418190824762 627286237143 836381649524 1254572474286 1672763299048 1881858711429 2509144948572 3345526598096 3763717422858 5018289897144 5645576134287 6691053196192 7527434845716 10036579794288 11291152268574 15054869691432 16936728402861 20073159588576 22582304537148 30109739382864 33873456805722 45164609074296 60219478765728 67746913611444 90329218148592 135493827222888 180658436297184 270987654445776 541975308891552