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542203375545 = 3251337157159553
BaseRepresentation
bin1111110001111011101…
…01101110111110111001
31220211112002022022202200
413320331311232332321
532340413031004140
61053030152020413
754113206435506
oct7707565567671
91824462268680
10542203375545
11199a46741167
12890ba991709
133c18b844240
141c3582aa4ad
15e185ca2030
hex7e3dd6efb9

542203375545 has 96 divisors (see below), whose sum is σ = 1046094739872. Its totient is φ = 258060681216.

The previous prime is 542203375543. The next prime is 542203375591. The reversal of 542203375545 is 545573302245.

542203375545 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 0 + 33 + 75 + 545 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 116572396329 + 425630979216 = 341427^2 + 652404^2 .

It is not a de Polignac number, because 542203375545 - 21 = 542203375543 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 542203375545.

It is not an unprimeable number, because it can be changed into a prime (542203375543) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3318489 + ... + 3478041.

It is an arithmetic number, because the mean of its divisors is an integer number (10896820207).

Almost surely, 2542203375545 is an apocalyptic number.

It is an amenable number.

542203375545 is a deficient number, since it is larger than the sum of its proper divisors (503891364327).

542203375545 is a wasteful number, since it uses less digits than its factorization.

542203375545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159771 (or 159768 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 45.

The spelling of 542203375545 in words is "five hundred forty-two billion, two hundred three million, three hundred seventy-five thousand, five hundred forty-five".

Divisors: 1 3 5 9 13 15 37 39 45 65 111 117 157 185 195 333 471 481 555 585 785 1413 1443 1665 2041 2355 2405 4329 5809 6123 7065 7215 10205 17427 18369 21645 29045 30615 52281 75517 87135 91845 159553 226551 261405 377585 478659 679653 797765 1132755 1435977 2074189 2393295 3398265 5903461 6222567 7179885 10370945 17710383 18667701 25049821 29517305 31112835 53131149 75149463 76744993 88551915 93338505 125249105 225448389 230234979 265655745 325647673 375747315 383724965 690704937 926843377 976943019 1127241945 1151174895 1628238365 2780530131 2930829057 3453524685 4634216885 4884715095 8341590393 12048963901 13902650655 14654145285 36146891703 41707951965 60244819505 108440675109 180734458515 542203375545