Search a number
-
+
541055266420 = 225145318618557
BaseRepresentation
bin1111101111110010110…
…10000010111001110100
31220201120001221100010111
413313321122002321310
532331040122011140
61052320220032404
754042565611544
oct7677132027164
91821501840114
10541055266420
11199507657849
1288a3a392704
133c037a1aa26
141c289a07324
15e11a0b67ea
hex7df9682e74

541055266420 has 24 divisors (see below), whose sum is σ = 1136998099944. Its totient is φ = 216273146496.

The previous prime is 541055266399. The next prime is 541055266429. The reversal of 541055266420 is 24662550145.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 371156319076 + 169898947344 = 609226^2 + 412188^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541055266429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9280219 + ... + 9338338.

It is an arithmetic number, because the mean of its divisors is an integer number (47374920831).

Almost surely, 2541055266420 is an apocalyptic number.

It is an amenable number.

541055266420 is an abundant number, since it is smaller than the sum of its proper divisors (595942833524).

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

541055266420 is a wasteful number, since it uses less digits than its factorization.

541055266420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18620019 (or 18620017 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 541055266420 in words is "five hundred forty-one billion, fifty-five million, two hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1453 2906 5812 7265 14530 29060 18618557 37237114 74474228 93092785 186185570 372371140 27052763321 54105526642 108211053284 135263816605 270527633210 541055266420