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42202237369312 = 2517219132385463
BaseRepresentation
bin10011001100001111110010…
…10111011111101111100000
312112102111100111001200111001
421212013321113133233200
521012420140231304222
6225431235030001344
711614003532605306
oct1146077127375740
9175374314050431
1042202237369312
11124a096086a7a9
1248970abaa6254
131a71866834967
14a5c856254276
154d2b9c7bce27
hex2661f95dfbe0

42202237369312 has 72 divisors (see below), whose sum is σ = 88306714154736. Its totient is φ = 19849486553088.

The previous prime is 42202237369247. The next prime is 42202237369339. The reversal of 42202237369312 is 21396373220224.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16498693 + ... + 18884155.

It is an arithmetic number, because the mean of its divisors is an integer number (1226482141038).

Almost surely, 242202237369312 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 42202237369312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44153357077368).

42202237369312 is an abundant number, since it is smaller than the sum of its proper divisors (46104476785424).

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

42202237369312 is a wasteful number, since it uses less digits than its factorization.

42202237369312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387420 (or 2387395 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 46.

The spelling of 42202237369312 in words is "forty-two trillion, two hundred two billion, two hundred thirty-seven million, three hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 1913 2312 3826 4624 7652 9248 15304 30608 32521 61216 65042 130084 260168 520336 552857 1040672 1105714 2211428 2385463 4422856 4770926 8845712 9541852 17691424 19083704 38167408 40552871 76334816 81105742 162211484 324422968 648845936 689398807 1297691872 1378797614 2757595228 4563390719 5515190456 9126781438 11030380912 18253562876 22060761824 36507125752 73014251504 77577642223 146028503008 155155284446 310310568892 620621137784 1241242275568 1318819917791 2482484551136 2637639835582 5275279671164 10550559342328 21101118684656 42202237369312