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5506496688 = 2437114731699
BaseRepresentation
bin1010010000011011…
…00111100010110000
3112012202110000101210
411020031213202300
542234130343223
62310223200120
7253312310130
oct51015474260
915182400353
105506496688
112376301510
121098146040
13699a79a84
143a3468ac0
15223654893
hex1483678b0

5506496688 has 160 divisors (see below), whose sum is σ = 18113126400. Its totient is φ = 1399783680.

The previous prime is 5506496687. The next prime is 5506496693. The reversal of 5506496688 is 8866946055.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5506496687) 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, 157863 + ... + 189561.

It is an arithmetic number, because the mean of its divisors is an integer number (113207040).

Almost surely, 25506496688 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 5506496688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9056563200).

5506496688 is an abundant number, since it is smaller than the sum of its proper divisors (12606629712).

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

5506496688 is a wasteful number, since it uses less digits than its factorization.

5506496688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31775 (or 31769 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The square root of 5506496688 is about 74205.7726056403. The cubic root of 5506496688 is about 1765.8689115105.

The spelling of 5506496688 in words is "five billion, five hundred six million, four hundred ninety-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 47 48 56 66 77 84 88 94 112 132 141 154 168 176 188 231 264 282 308 329 336 376 462 517 528 564 616 658 752 924 987 1034 1128 1232 1316 1551 1848 1974 2068 2256 2632 3102 3619 3696 3948 4136 5264 6204 7238 7896 8272 10857 12408 14476 15792 21714 24816 28952 31699 43428 57904 63398 86856 95097 126796 173712 190194 221893 253592 348689 380388 443786 507184 665679 697378 760776 887572 1046067 1331358 1394756 1489853 1521552 1775144 2092134 2440823 2662716 2789512 2979706 3550288 4184268 4469559 4881646 5325432 5579024 5959412 7322469 8368536 8939118 9763292 10428971 10650864 11918824 14644938 16388383 16737072 17878236 19526584 20857942 23837648 29289876 31286913 32776766 35756472 39053168 41715884 49165149 58579752 62573826 65553532 71512944 83431768 98330298 114718681 117159504 125147652 131107064 166863536 196660596 229437362 250295304 262214128 344156043 393321192 458874724 500590608 688312086 786642384 917749448 1376624172 1835498896 2753248344 5506496688