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542215105542 = 2331161109313691
BaseRepresentation
bin1111110001111101000…
…10011110110000000110
31220211112220101021022000
413320332202132300012
532340424031334132
61053031251250130
754113411231655
oct7707642366006
91824486337260
10542215105542
11199a52323080
12891028a9946
133c1910c0376
141c359a8119c
15e186d1c87c
hex7e3e89ec06

542215105542 has 128 divisors (see below), whose sum is σ = 1337329405440. Its totient is φ = 161454384000.

The previous prime is 542215105501. The next prime is 542215105543. The reversal of 542215105542 is 245501512245.

542215105542 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 1 + 5 + 105 + 542 = 666.

It is a super-2 number, since 2×5422151055422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 542215105497 and 542215105506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542215105543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39596917 + ... + 39610607.

It is an arithmetic number, because the mean of its divisors is an integer number (10447885980).

Almost surely, 2542215105542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542215105542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668664702720).

542215105542 is an abundant number, since it is smaller than the sum of its proper divisors (795114299898).

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

542215105542 is a wasteful number, since it uses less digits than its factorization.

542215105542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14867 (or 14861 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

Adding to 542215105542 its reverse (245501512245), we get a palindrome (787716617787).

The spelling of 542215105542 in words is "five hundred forty-two billion, two hundred fifteen million, one hundred five thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 99 122 183 198 297 366 549 594 671 1093 1098 1342 1647 2013 2186 3279 3294 4026 6039 6558 9837 12023 12078 13691 18117 19674 24046 27382 29511 36069 36234 41073 59022 66673 72138 82146 108207 123219 133346 150601 200019 216414 246438 301202 324621 369657 400038 451803 600057 649242 733403 739314 835151 903606 1200114 1355409 1466806 1670302 1800171 2200209 2505453 2710818 3600342 4066227 4400418 5010906 6600627 7516359 8132454 9186661 13201254 14964263 15032718 18373322 19801881 22549077 27559983 29928526 39603762 44892789 45098154 55119966 82679949 89785578 134678367 164606893 165359898 248039847 269356734 329213786 404035101 493820679 496079694 808070202 912820043 987641358 1481462037 1825640086 2738460129 2962924074 4444386111 5476920258 8215380387 8888772222 10041020473 16430760774 20082040946 24646141161 30123061419 49292282322 60246122838 90369184257 180738368514 271107552771 542215105542