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132542373457844 = 22731713886155343
BaseRepresentation
bin11110001000101111101101…
…000101100110111110110100
3122101021221000220012112112222
4132020233231011212332310
5114333033240101122334
61145521043100301512
736626604400426160
oct3610575505467664
9571257026175488
10132542373457844
11392609a5498559
1212a47724841898
1358c58cc9713ac
1424a312974dca0
15104cae8222d2e
hex788bed166fb4

132542373457844 has 96 divisors (see below), whose sum is σ = 277502048796672. Its totient is φ = 54194871024000.

The previous prime is 132542373457829. The next prime is 132542373457849. The reversal of 132542373457844 is 448754373245231.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132542373457849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2394898037 + ... + 2394953379.

It is an arithmetic number, because the mean of its divisors is an integer number (2890646341632).

Almost surely, 2132542373457844 is an apocalyptic number.

132542373457844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132542373457844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138751024398336).

132542373457844 is an abundant number, since it is smaller than the sum of its proper divisors (144959675338828).

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

132542373457844 is a wasteful number, since it uses less digits than its factorization.

132542373457844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94317 (or 94315 counting only the distinct ones).

The product of its digits is 270950400, while the sum is 62.

The spelling of 132542373457844 in words is "one hundred thirty-two trillion, five hundred forty-two billion, three hundred seventy-three million, four hundred fifty-seven thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 28 31 62 71 124 142 217 284 434 497 868 994 1988 2201 4402 8804 15407 30814 38861 55343 61628 77722 110686 155444 221372 272027 387401 544054 774802 1088108 1204691 1549604 1715633 2409382 2759131 3431266 3929353 4818764 5518262 6862532 7858706 8432837 11036524 12009431 15717412 16865674 19313917 24018862 27505471 33731348 38627834 48037724 55010942 77255668 85533061 110021884 121809943 171066122 243619886 342132244 487239772 598731427 852669601 1197462854 1705339202 2150684323 2394925708 3410678404 4301368646 8602737292 15054790261 30109580522 60219161044 66671214013 133342428026 152698586933 266684856052 305397173866 466698498091 610794347732 933396996182 1068890108531 1866793992364 2137780217062 4275560434124 4733656194923 9467312389846 18934624779692 33135593364461 66271186728922 132542373457844