Search a number
-
+
38073041344 = 26133110331429
BaseRepresentation
bin100011011101010101…
…001000000111000000
310122021101010220011101
4203131111020013000
51110433144310334
625253541224144
72515325340352
oct433525100700
9118241126141
1038073041344
111516826a528
127466702054
133789aa0140
141bb26c70d2
15ecc751214
hex8dd5481c0

38073041344 has 112 divisors (see below), whose sum is σ = 84127563520. Its totient is φ = 16976977920.

The previous prime is 38073041333. The next prime is 38073041351. The reversal of 38073041344 is 44314037083.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26642422 + ... + 26643850.

It is an arithmetic number, because the mean of its divisors is an integer number (751138960).

Almost surely, 238073041344 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 38073041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42063781760).

38073041344 is an abundant number, since it is smaller than the sum of its proper divisors (46054522176).

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

38073041344 is a wasteful number, since it uses less digits than its factorization.

38073041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 38073041344 in words is "thirty-eight billion, seventy-three million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 248 403 416 496 806 832 992 1033 1429 1612 1984 2066 2858 3224 4132 5716 6448 8264 11432 12896 13429 16528 18577 22864 25792 26858 32023 33056 37154 44299 45728 53716 64046 66112 74308 88598 91456 107432 128092 148616 177196 214864 256184 297232 354392 416299 429728 512368 575887 594464 708784 832598 859456 1024736 1151774 1188928 1417568 1476157 1665196 2049472 2303548 2835136 2952314 3330392 4607096 5904628 6660784 9214192 11809256 13321568 18428384 19190041 23618512 26643136 36856768 38380082 45760867 47237024 76760164 91521734 94474048 153520328 183043468 307040656 366086936 594891271 614081312 732173872 1189782542 1228162624 1464347744 2379565084 2928695488 4759130168 9518260336 19036520672 38073041344