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37431738414 = 2337619159977
BaseRepresentation
bin100010110111000110…
…110000000000101110
310120121200102022221000
4202313012300000232
51103130011112124
625110152021130
72463410345460
oct426706600056
9116550368830
1037431738414
1114969271104
1273079917a6
1336b6c72955
141b5146c130
15e912c56c9
hex8b71b002e

37431738414 has 64 divisors (see below), whose sum is σ = 95218905600. Its totient is φ = 10677438144.

The previous prime is 37431738397. The next prime is 37431738427. The reversal of 37431738414 is 41483713473.

It is a happy number.

It is a super-2 number, since 2×374317384142 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 37431738414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153994 + ... + 313970.

It is an arithmetic number, because the mean of its divisors is an integer number (1487795400).

Almost surely, 237431738414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37431738414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47609452800).

37431738414 is an abundant number, since it is smaller than the sum of its proper divisors (57787167186).

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

37431738414 is a wasteful number, since it uses less digits than its factorization.

37431738414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160614 (or 160608 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 37431738414 in words is "thirty-seven billion, four hundred thirty-one million, seven hundred thirty-eight thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 619 1238 1857 3714 4333 5571 8666 11142 12999 16713 25998 33426 38997 77994 116991 159977 233982 319954 479931 959862 1119839 1439793 2239678 2879586 3359517 4319379 6719034 8638758 10078551 20157102 30235653 60471306 99025763 198051526 297077289 594154578 693180341 891231867 1386360682 1782463734 2079541023 2673695601 4159082046 5347391202 6238623069 12477246138 18715869207 37431738414