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16680722313616 = 247127321972
BaseRepresentation
bin1111001010111100100010…
…0001110011000110010000
32012001122212012220021012221
43302233020201303012100
54141244104403013431
655251003521430424
73341066564142634
oct362571041630620
965048765807187
1016680722313616
115351288975a49
121a54a0419b414
1393cca6b0021a
144194cbc42dc4
151ddd85846111
hexf2bc8873190

16680722313616 has 135 divisors (see below), whose sum is σ = 33405271392963. Its totient is φ = 8069080158720.

The previous prime is 16680722313601. The next prime is 16680722313653. The reversal of 16680722313616 is 61631322708661.

The square root of 16680722313616 is 4084204.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7097982953616 + 9582739360000 = 2664204^2 + 3095600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 84673717230 + ... + 84673717426.

Almost surely, 216680722313616 is an apocalyptic number.

16680722313616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16680722313616 is the 4084204-th square number.

It is an amenable number.

16680722313616 is an abundant number, since it is smaller than the sum of its proper divisors (16724549079347).

16680722313616 is an frugal number, since it uses more digits than its factorization.

16680722313616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 16680722313616 in words is "sixteen trillion, six hundred eighty billion, seven hundred twenty-two million, three hundred thirteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 71 73 142 146 197 284 292 394 568 584 788 1136 1168 1576 3152 5041 5183 5329 10082 10366 10658 13987 14381 20164 20732 21316 27974 28762 38809 40328 41464 42632 55948 57524 77618 80656 82928 85264 111896 115048 155236 223792 230096 310472 367993 378359 620944 735986 756718 993077 1021051 1049813 1471972 1513436 1986154 2042102 2099626 2755439 2833057 2943944 3026872 3972308 4084204 4199252 5510878 5666114 5887888 6053744 7944616 8168408 8398504 11021756 11332228 15889232 16336816 16797008 22043512 22664456 26863489 44087024 45328912 53726978 72494621 74536723 107453956 144989242 149073446 195636169 201147047 206813161 214907912 289978484 298146892 391272338 402294094 413626322 429815824 579956968 596293784 782544676 804588188 827252644 1159913936 1192587568 1565089352 1609176376 1654505288 3130178704 3218352752 3309010576 5292107333 10584214666 14281440337 14683734431 21168429332 28562880674 29367468862 42336858664 57125761348 58734937724 84673717328 114251522696 117469875448 228503045392 234939750896 1042545144601 2085090289202 4170180578404 8340361156808 16680722313616