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542044012664 = 237112791012591
BaseRepresentation
bin1111110001101000101…
…01110100000001111000
31220211002222102211222202
413320310111310001320
532340101231401124
61053002300205332
754106233041630
oct7706425640170
91824088384882
10542044012664
11199974794500
1289075539848
133c16481778b
141c3410656c0
15e176cc35ae
hex7e34574078

542044012664 has 96 divisors (see below), whose sum is σ = 1292877465600. Its totient is φ = 208512532800.

The previous prime is 542044012639. The next prime is 542044012669. The reversal of 542044012664 is 466210440245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542044012669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29009 + ... + 1041599.

It is an arithmetic number, because the mean of its divisors is an integer number (13467473600).

Almost surely, 2542044012664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542044012664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646438732800).

542044012664 is an abundant number, since it is smaller than the sum of its proper divisors (750833452936).

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

542044012664 is a wasteful number, since it uses less digits than its factorization.

542044012664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012705 (or 1012690 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 542044012664 in words is "five hundred forty-two billion, forty-four million, twelve thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 79 88 121 154 158 242 308 316 484 553 616 632 847 869 968 1106 1694 1738 2212 3388 3476 4424 6083 6776 6952 9559 12166 19118 24332 38236 48664 66913 76472 133826 267652 535304 1012591 2025182 4050364 7088137 8100728 11138501 14176274 22277002 28352548 44554004 56705096 77969507 79994689 89108008 122523511 155939014 159989378 245047022 311878028 319978756 490094044 559962823 623756056 639957512 857664577 879941579 980188088 1119925646 1715329154 1759883158 2239851292 3430658308 3519766316 4479702584 6159591053 6861316616 7039532632 9679357369 12319182106 19358714738 24638364212 38717429476 49276728424 67755501583 77434858952 135511003166 271022006332 542044012664