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5325262416 = 2432437112113
BaseRepresentation
bin1001111010110100…
…10000111001010000
3111202010102100201100
410331122100321100
541401231344131
62240230504400
7245651661255
oct47532207120
914663370640
105325262416
112292a76521
121047505100
1366b363166
1438736d42c
152127a57e6
hex13d690e50

5325262416 has 120 divisors (see below), whose sum is σ = 15465992256. Its totient is φ = 1709245440.

The previous prime is 5325262391. The next prime is 5325262441. The reversal of 5325262416 is 6142625235.

5325262416 is a `hidden beast` number, since 5 + 3 + 25 + 2 + 624 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5325262391) and next prime (5325262441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433576 + ... + 445688.

Almost surely, 25325262416 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 5325262416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7732996128).

5325262416 is an abundant number, since it is smaller than the sum of its proper divisors (10140729840).

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

5325262416 is a wasteful number, since it uses less digits than its factorization.

5325262416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12241 (or 12232 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 5325262416 is about 72974.3956192855. The cubic root of 5325262416 is about 1746.2791600655.

The spelling of 5325262416 in words is "five billion, three hundred twenty-five million, two hundred sixty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 71 72 86 129 142 144 172 213 258 284 344 387 426 516 568 639 688 774 852 1032 1136 1278 1548 1704 2064 2556 3053 3096 3408 5112 6106 6192 9159 10224 12113 12212 18318 24226 24424 27477 36339 36636 48452 48848 54954 72678 73272 96904 109017 109908 145356 146544 193808 218034 219816 290712 436068 439632 520859 581424 860023 872136 1041718 1562577 1720046 1744272 2083436 2580069 3125154 3440092 4166872 4687731 5160138 6250308 6880184 7740207 8333744 9375462 10320276 12500616 13760368 15480414 18750924 20640552 25001232 30960828 36980989 37501848 41281104 61921656 73961978 75003696 110942967 123843312 147923956 221885934 295847912 332828901 443771868 591695824 665657802 887543736 1331315604 1775087472 2662631208 5325262416