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5345515632 = 2431719557619
BaseRepresentation
bin1001111101001111…
…00001100001110000
3111210112112022220110
410332213201201300
541421423000012
62242232541320
7246316063452
oct47647414160
914715468813
105345515632
1122a344a016
121052251840
13672604902
14389d222d2
1521445673c
hex13e9e1870

5345515632 has 160 divisors (see below), whose sum is σ = 15443654400. Its totient is φ = 1583345664.

The previous prime is 5345515579. The next prime is 5345515639. The reversal of 5345515632 is 2365155435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5345515639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8635419 + ... + 8636037.

It is an arithmetic number, because the mean of its divisors is an integer number (96522840).

Almost surely, 25345515632 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 5345515632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721827200).

5345515632 is an abundant number, since it is smaller than the sum of its proper divisors (10098138768).

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

5345515632 is a wasteful number, since it uses less digits than its factorization.

5345515632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1217 counting only the distinct ones).

The product of its digits is 270000, while the sum is 39.

The square root of 5345515632 is about 73113.0332567320. The cubic root of 5345515632 is about 1748.4901951576.

The spelling of 5345515632 in words is "five billion, three hundred forty-five million, five hundred fifteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 557 619 646 816 912 969 1114 1238 1292 1671 1857 1938 2228 2476 2584 3342 3714 3876 4456 4952 5168 6684 7428 7752 8912 9469 9904 10523 10583 11761 13368 14856 15504 18938 21046 21166 23522 26736 28407 29712 31569 31749 35283 37876 42092 42332 47044 56814 63138 63498 70566 75752 84184 84664 94088 113628 126276 126996 141132 151504 168368 169328 179911 188176 199937 227256 252552 253992 282264 344783 359822 399874 454512 505104 507984 539733 564528 599811 689566 719644 799748 1034349 1079466 1199622 1379132 1439288 1599496 2068698 2158932 2399244 2758264 2878576 3198992 4137396 4317864 4798488 5516528 5861311 6550877 8274792 8635728 9596976 11722622 13101754 16549584 17583933 19652631 23445244 26203508 35167866 39305262 46890488 52407016 70335732 78610524 93780976 104814032 111364909 140671464 157221048 222729818 281342928 314442096 334094727 445459636 668189454 890919272 1336378908 1781838544 2672757816 5345515632