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5417101312 = 21172232347
BaseRepresentation
bin1010000101110001…
…00110100000000000
3111222112020020222221
411002320212200000
542043234220222
62253311140424
7251145413200
oct50270464000
914875206887
105417101312
11232a8a3437
121072214714
136843aa0bc
14395638400
1521a8970c7
hex142e26800

5417101312 has 144 divisors (see below), whose sum is σ = 13153402080. Its totient is φ = 2219728896.

The previous prime is 5417101303. The next prime is 5417101373. The reversal of 5417101312 is 2131017145.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2306923 + ... + 2309269.

It is an arithmetic number, because the mean of its divisors is an integer number (91343070).

Almost surely, 25417101312 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 5417101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6576701040).

5417101312 is an abundant number, since it is smaller than the sum of its proper divisors (7736300768).

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

5417101312 is a wasteful number, since it uses less digits than its factorization.

5417101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 5417101312 is about 73600.9599937392. The cubic root of 5417101312 is about 1756.2607112867.

Adding to 5417101312 its reverse (2131017145), we get a palindrome (7548118457).

The spelling of 5417101312 in words is "five billion, four hundred seventeen million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 112 128 161 184 196 224 256 322 368 392 448 512 644 736 784 896 1024 1127 1288 1472 1568 1792 2048 2254 2347 2576 2944 3136 3584 4508 4694 5152 5888 6272 7168 9016 9388 10304 11776 12544 14336 16429 18032 18776 20608 23552 25088 32858 36064 37552 41216 47104 50176 53981 65716 72128 75104 82432 100352 107962 115003 131432 144256 150208 164864 215924 230006 262864 288512 300416 329728 377867 431848 460012 525728 577024 600832 755734 863696 920024 1051456 1154048 1201664 1511468 1727392 1840048 2102912 2308096 2403328 2645069 3022936 3454784 3680096 4205824 4806656 5290138 6045872 6909568 7360192 8411648 10580276 12091744 13819136 14720384 16823296 21160552 24183488 27638272 29440768 33646592 42321104 48366976 55276544 58881536 84642208 96733952 110553088 117763072 169284416 193467904 235526144 338568832 386935808 677137664 773871616 1354275328 2708550656 5417101312