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19968836165712 = 243472314450053
BaseRepresentation
bin1001000101001010110110…
…11000101110000001010000
32121201000001112012200210000
410202211123120232001100
510104132134024300322
6110245320125010000
74130462242553100
oct442453330560120
977630045180700
1019968836165712
1163a981047a095
1222a61169b3900
13b1b08ca7a9c5
144d06d5419200
1524967deb73ac
hex12295b62e050

19968836165712 has 150 divisors (see below), whose sum is σ = 67231622695578. Its totient is φ = 5705381743488.

The previous prime is 19968836165701. The next prime is 19968836165723. The reversal of 19968836165712 is 21756163886991.

19968836165712 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 8 + 8 + 36 + 16 + 571 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (19968836165701) and next prime (19968836165723).

It can be written as a sum of positive squares in only one way, i.e., 13941889725456 + 6026946440256 = 3733884^2 + 2454984^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 157161523 + ... + 157288530.

Almost surely, 219968836165712 is an apocalyptic number.

19968836165712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19968836165712 is an abundant number, since it is smaller than the sum of its proper divisors (47262786529866).

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

19968836165712 is a wasteful number, since it uses less digits than its factorization.

19968836165712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314450087 (or 314450065 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 72.

The spelling of 19968836165712 in words is "nineteen trillion, nine hundred sixty-eight billion, eight hundred thirty-six million, one hundred sixty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3528 3969 4536 5292 7056 7938 9072 10584 15876 21168 31752 63504 314450053 628900106 943350159 1257800212 1886700318 2201150371 2515600424 2830050477 3773400636 4402300742 5031200848 5660100954 6603451113 7546801272 8490151431 8804601484 11320201908 13206902226 15093602544 15408052597 16980302862 17609202968 19810353339 22640403816 25470454293 26413804452 30816105194 33960605724 35218405936 39620706678 45280807632 46224157791 50940908586 52827608904 59431060017 61632210388 67921211448 79241413356 92448315582 101881817172 105655217808 118862120034 123264420776 135842422896 138672473373 158482826712 178293180051 184896631164 203763634344 237724240068 246528841552 277344946746 316965653424 356586360102 369793262328 407527268688 416017420119 475448480136 554689893492 713172720204 739586524656 832034840238 950896960272 1109379786984 1248052260357 1426345440408 1664069680476 2218759573968 2496104520714 2852690880816 3328139360952 4992209041428 6656278721904 9984418082856 19968836165712