Search a number
-
+
38500588350 = 23252713987931
BaseRepresentation
bin100011110110110100…
…000101101100111110
310200101011122112101200
4203312310011230332
51112322122311400
625404213120330
72532036413160
oct436664055476
9120334575350
1038500588350
111536763a964
1275659290a6
133827538033
141c133bc930
151005056b00
hex8f6d05b3e

38500588350 has 144 divisors (see below), whose sum is σ = 119066962560. Its totient is φ = 8736724800.

The previous prime is 38500588339. The next prime is 38500588397. The reversal of 38500588350 is 5388500583.

38500588350 is a `hidden beast` number, since 38 + 5 + 0 + 0 + 588 + 35 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 38500588296 and 38500588305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 393885 + ... + 481815.

Almost surely, 238500588350 is an apocalyptic number.

38500588350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38500588350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59533481280).

38500588350 is an abundant number, since it is smaller than the sum of its proper divisors (80566374210).

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

38500588350 is a wasteful number, since it uses less digits than its factorization.

38500588350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88095 (or 88087 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 38500588350 in words is "thirty-eight billion, five hundred million, five hundred eighty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 139 150 175 210 225 278 315 350 417 450 525 630 695 834 973 1050 1251 1390 1575 1946 2085 2502 2919 3150 3475 4170 4865 5838 6255 6950 8757 9730 10425 12510 14595 17514 20850 24325 29190 31275 43785 48650 62550 72975 87570 87931 145950 175862 218925 263793 437850 439655 527586 615517 791379 879310 1231034 1318965 1582758 1846551 2198275 2637930 3077585 3693102 3956895 4396550 5539653 6155170 6594825 7913790 9232755 11079306 12222409 13189650 15387925 18465510 19784475 24444818 27698265 30775850 36667227 39568950 46163775 55396530 61112045 73334454 85556863 92327550 110001681 122224090 138491325 171113726 183336135 220003362 256670589 276982650 305560225 366672270 427784315 513341178 550008405 611120450 770011767 855568630 916680675 1100016810 1283352945 1540023534 1833361350 2138921575 2566705890 2750042025 3850058835 4277843150 5500084050 6416764725 7700117670 12833529450 19250294175 38500588350