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5416165488 = 2432389199277
BaseRepresentation
bin1010000101101010…
…00010000001110000
3111222110110201021210
411002311002001300
542043014243423
62253235120120
7251134434636
oct50265020160
914873421253
105416165488
11232a314328
121071a43040
13684140166
14395473356
1521a75eb93
hex142d42070

5416165488 has 160 divisors (see below), whose sum is σ = 14891904000. Its totient is φ = 1692776448.

The previous prime is 5416165481. The next prime is 5416165499. The reversal of 5416165488 is 8845616145.

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 (5416165481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19552806 + ... + 19553082.

It is an arithmetic number, because the mean of its divisors is an integer number (93074400).

Almost surely, 25416165488 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 5416165488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7445952000).

5416165488 is an abundant number, since it is smaller than the sum of its proper divisors (9475738512).

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

5416165488 is a wasteful number, since it uses less digits than its factorization.

5416165488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 593 counting only the distinct ones).

The product of its digits is 921600, while the sum is 48.

The square root of 5416165488 is about 73594.6023020710. The cubic root of 5416165488 is about 1756.1595719823.

The spelling of 5416165488 in words is "five billion, four hundred sixteen million, one hundred sixty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 89 92 138 178 184 199 267 276 277 356 368 398 534 552 554 597 712 796 831 1068 1104 1108 1194 1424 1592 1662 2047 2136 2216 2388 3184 3324 4094 4272 4432 4577 4776 6141 6371 6648 8188 9154 9552 12282 12742 13296 13731 16376 17711 18308 19113 24564 24653 25484 27462 32752 35422 36616 38226 49128 49306 50968 53133 54924 55123 70844 73232 73959 76452 98256 98612 101936 106266 109848 110246 141688 147918 152904 165369 197224 212532 219696 220492 283376 295836 305808 330738 394448 407353 425064 440984 567019 591672 661476 814706 850128 881968 1134038 1183344 1222059 1267829 1322952 1629412 1701057 2268076 2444118 2535658 2645904 3258824 3402114 3803487 4536152 4888236 4905947 5071316 6517648 6804228 7606974 9072304 9776472 9811894 10142632 13608456 14717841 15213948 19552944 19623788 20285264 27216912 29435682 30427896 39247576 58871364 60855792 78495152 112836781 117742728 225673562 235485456 338510343 451347124 677020686 902694248 1354041372 1805388496 2708082744 5416165488