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42674627436 = 223721992511453
BaseRepresentation
bin100111101111100110…
…110010001101101100
311002011001211200120220
4213233212302031230
51144344201034221
631334321211340
73040342230300
oct475746621554
9132131750526
1042674627436
1117109795241
12832b790b50
13404122434c
1420cb8b7d00
15119b7090c6
hex9ef9b236c

42674627436 has 144 divisors (see below), whose sum is σ = 116957433600. Its totient is φ = 12074832000.

The previous prime is 42674627423. The next prime is 42674627449. The reversal of 42674627436 is 63472647624.

It is an interprime number because it is at equal distance from previous prime (42674627423) and next prime (42674627449).

It is a super-2 number, since 2×426746274362 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29369286 + ... + 29370738.

It is an arithmetic number, because the mean of its divisors is an integer number (812204400).

Almost surely, 242674627436 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 42674627436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58478716800).

42674627436 is an abundant number, since it is smaller than the sum of its proper divisors (74282806164).

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

42674627436 is a wasteful number, since it uses less digits than its factorization.

42674627436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1915 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 51.

The spelling of 42674627436 in words is "forty-two billion, six hundred seventy-four million, six hundred twenty-seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 199 251 294 398 502 588 597 753 796 1004 1194 1393 1453 1506 1757 2388 2786 2906 3012 3514 4179 4359 5271 5572 5812 7028 8358 8718 9751 10171 10542 12299 16716 17436 19502 20342 21084 24598 29253 30513 36897 39004 40684 49196 49949 58506 61026 71197 73794 99898 117012 122052 142394 147588 149847 199796 213591 284788 289147 299694 349643 364703 427182 578294 599388 699286 729406 854364 867441 1048929 1094109 1156588 1398572 1458812 1734882 2024029 2097858 2188218 2447501 2552921 3469764 4048058 4195716 4376436 4895002 5105842 6072087 7342503 7658763 8096116 9790004 10211684 12144174 14168203 14685006 15317526 17870447 24288348 28336406 29370012 30635052 35740894 42504609 53611341 56672812 71481788 72575897 85009218 107222682 145151794 170018436 214445364 217727691 290303588 435455382 508031279 870910764 1016062558 1524093837 2032125116 3048187674 3556218953 6096375348 7112437906 10668656859 14224875812 21337313718 42674627436