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542936706378 = 231124198292153
BaseRepresentation
bin1111110011010011000…
…11001010110101001010
31220220102012012101112220
413321221203022311022
532343413244101003
61053231025514510
754140322600333
oct7715143126512
91826365171486
10542936706378
1119a292686500
12892844a2a36
133c277753701
141c3c783d28a
15e1ca35a353
hex7e698cad4a

542936706378 has 96 divisors (see below), whose sum is σ = 1198411502400. Its totient is φ = 163859477760.

The previous prime is 542936706371. The next prime is 542936706421. The reversal of 542936706378 is 873607639245.

542936706378 is a nontrivial binomial coefficient, being equal to C(1042053, 2).

It is not an unprimeable number, because it can be changed into a prime (542936706371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252175750 + ... + 252177902.

It is an arithmetic number, because the mean of its divisors is an integer number (12483453150).

Almost surely, 2542936706378 is an apocalyptic number.

542936706378 is the 1042052-nd triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542936706378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599205751200).

542936706378 is an abundant number, since it is smaller than the sum of its proper divisors (655474796022).

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

542936706378 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (542936706377) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (3417).

542936706378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 542936706378 in words is "five hundred forty-two billion, nine hundred thirty-six million, seven hundred six thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 419 726 829 838 1257 1658 2153 2487 2514 4306 4609 4974 6459 9119 9218 12918 13827 18238 23683 27357 27654 47366 50699 54714 71049 100309 101398 142098 152097 200618 260513 300927 304194 347351 521026 601854 694702 781539 902107 1042053 1563078 1784837 1804214 2084106 2706321 3569674 3820861 5354511 5412642 7641722 9923177 10709022 11462583 19633207 19846354 22925166 29769531 39266414 42029471 58899621 59539062 84058942 109154947 117799242 126088413 215965277 218309894 252176826 327464841 431930554 647895831 654929682 747846703 1295791662 1495693406 2243540109 4487080218 8226313733 16452627466 24678941199 49357882398 90489451063 180978902126 271468353189 542936706378