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5087537616 = 243761892789
BaseRepresentation
bin1001011110011110…
…11010100111010000
3111010120002200121010
410233033122213100
540404402200431
62200455330520
7240034233120
oct45717324720
914116080533
105087537616
112180867347
12b9b980a40
1363102aab5
1436396ac80
151eb998846
hex12f3da9d0

5087537616 has 160 divisors (see below), whose sum is σ = 15443654400. Its totient is φ = 1413181440.

The previous prime is 5087537597. The next prime is 5087537617. The reversal of 5087537616 is 6167357805.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5087537617) 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, 1822750 + ... + 1825538.

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

Almost surely, 25087537616 is an apocalyptic number.

5087537616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5087537616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721827200).

5087537616 is an abundant number, since it is smaller than the sum of its proper divisors (10356116784).

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

5087537616 is a wasteful number, since it uses less digits than its factorization.

5087537616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The square root of 5087537616 is about 71326.9767759717. The cubic root of 5087537616 is about 1719.8974177147.

The spelling of 5087537616 in words is "five billion, eighty-seven million, five hundred thirty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 89 112 122 168 178 183 244 267 336 356 366 427 488 534 623 712 732 854 976 1068 1246 1281 1424 1464 1708 1869 2136 2492 2562 2789 2928 3416 3738 4272 4984 5124 5429 5578 6832 7476 8367 9968 10248 10858 11156 14952 16287 16734 19523 20496 21716 22312 29904 32574 33468 38003 39046 43432 44624 58569 65148 66936 76006 78092 86864 114009 117138 130296 133872 152012 156184 170129 228018 234276 248221 260592 304024 312368 340258 456036 468552 496442 510387 608048 680516 744663 912072 937104 992884 1020774 1190903 1361032 1489326 1737547 1824144 1985768 2041548 2381806 2722064 2978652 3475094 3572709 3971536 4083096 4763612 5212641 5957304 6950188 7145418 8166192 9527224 10425282 11914608 13900376 14290836 15141481 19054448 20850564 27800752 28581672 30282962 41701128 45424443 57163344 60565924 83402256 90848886 105990367 121131848 181697772 211980734 242263696 317971101 363395544 423961468 635942202 726791088 847922936 1271884404 1695845872 2543768808 5087537616