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38533513216 = 214111712577
BaseRepresentation
bin100011111000110001…
…101100000000000000
310200110110121021211011
4203320301230000000
51112404034410331
625411350530304
72532616313062
oct437061540000
9120413537734
1038533513216
11153841888a0
127574966994
1338312c53c3
141c1790d732
151007dac3b1
hex8f8c6c000

38533513216 has 120 divisors (see below), whose sum is σ = 89022958416. Its totient is φ = 16483614720.

The previous prime is 38533513189. The next prime is 38533513231. The reversal of 38533513216 is 61231533583.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3057520 + ... + 3070096.

Almost surely, 238533513216 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 38533513216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44511479208).

38533513216 is an abundant number, since it is smaller than the sum of its proper divisors (50489445200).

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

38533513216 is a wasteful number, since it uses less digits than its factorization.

38533513216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12633 (or 12607 counting only the distinct ones).

The product of its digits is 194400, while the sum is 40.

The spelling of 38533513216 in words is "thirty-eight billion, five hundred thirty-three million, five hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 512 544 704 748 1024 1088 1408 1496 2048 2176 2816 2992 4096 4352 5632 5984 8192 8704 11264 11968 12577 16384 17408 22528 23936 25154 34816 45056 47872 50308 69632 90112 95744 100616 138347 139264 180224 191488 201232 213809 276694 278528 382976 402464 427618 553388 765952 804928 855236 1106776 1531904 1609856 1710472 2213552 2351899 3063808 3219712 3420944 4427104 4703798 6439424 6841888 8854208 9407596 12878848 13683776 17708416 18815192 25757696 27367552 35416832 37630384 51515392 54735104 70833664 75260768 103030784 109470208 141667328 150521536 206061568 218940416 283334656 301043072 437880832 566669312 602086144 875761664 1133338624 1204172288 1751523328 2266677248 2408344576 3503046656 4816689152 9633378304 19266756608 38533513216