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5171933952 = 28323835861
BaseRepresentation
bin1001101000100010…
…10111001100000000
3111100102220110121100
410310101113030000
541043003341302
62213112254400
7242110466433
oct46421271400
914312813540
105171933952
112214470589
1210040a1400
1364566a263
14370c5981a
152040b9d1c
hex134457300

5171933952 has 108 divisors (see below), whose sum is σ = 14953446144. Its totient is φ = 1719183360.

The previous prime is 5171933947. The next prime is 5171933957. The reversal of 5171933952 is 2593391715.

5171933952 is a `hidden beast` number, since 5 + 171 + 93 + 395 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5171933947) and next prime (5171933957).

It is a junction number, because it is equal to n+sod(n) for n = 5171933898 and 5171933907.

It is not an unprimeable number, because it can be changed into a prime (5171933957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 879502 + ... + 885362.

Almost surely, 25171933952 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 5171933952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7476723072).

5171933952 is an abundant number, since it is smaller than the sum of its proper divisors (9781512192).

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

5171933952 is a wasteful number, since it uses less digits than its factorization.

5171933952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6266 (or 6249 counting only the distinct ones).

The product of its digits is 255150, while the sum is 45.

The square root of 5171933952 is about 71916.1591855405. The cubic root of 5171933952 is about 1729.3556748319.

The spelling of 5171933952 in words is "five billion, one hundred seventy-one million, nine hundred thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 383 384 576 766 768 1149 1152 1532 2298 2304 3064 3447 4596 5861 6128 6894 9192 11722 12256 13788 17583 18384 23444 24512 27576 35166 36768 46888 49024 52749 55152 70332 73536 93776 98048 105498 110304 140664 147072 187552 210996 220608 281328 294144 375104 421992 441216 562656 750208 843984 882432 1125312 1500416 1687968 2244763 2250624 3375936 4489526 4501248 6734289 6751872 8979052 13468578 13503744 17958104 20202867 26937156 35916208 40405734 53874312 71832416 80811468 107748624 143664832 161622936 215497248 287329664 323245872 430994496 574659328 646491744 861988992 1292983488 1723977984 2585966976 5171933952