Search a number
-
+
38530509456 = 2436119168897
BaseRepresentation
bin100011111000100110…
…001110101010010000
310200110020221200102210
4203320212032222100
51112402302300311
625411202312120
72532551632545
oct437046165220
9120406850383
1038530509456
111538251704a
127573958640
1338307b312a
141c1736abcc
1510079b73a6
hex8f898ea90

38530509456 has 80 divisors (see below), whose sum is σ = 101700062208. Its totient is φ = 12566630400.

The previous prime is 38530509449. The next prime is 38530509461. The reversal of 38530509456 is 65490503583.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 524800 + ... + 593696.

Almost surely, 238530509456 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 38530509456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50850031104).

38530509456 is an abundant number, since it is smaller than the sum of its proper divisors (63169552752).

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

38530509456 is a wasteful number, since it uses less digits than its factorization.

38530509456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69160 (or 69154 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 38530509456 in words is "thirty-eight billion, five hundred thirty million, five hundred nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 191 244 366 382 488 573 732 764 976 1146 1464 1528 2292 2928 3056 4584 9168 11651 23302 34953 46604 68897 69906 93208 137794 139812 186416 206691 275588 279624 413382 551176 559248 826764 1102352 1653528 3307056 4202717 8405434 12608151 13159327 16810868 25216302 26318654 33621736 39477981 50432604 52637308 67243472 78955962 100865208 105274616 157911924 201730416 210549232 315823848 631647696 802718947 1605437894 2408156841 3210875788 4816313682 6421751576 9632627364 12843503152 19265254728 38530509456