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3693746016 = 253315972677
BaseRepresentation
bin1101110000101010…
…0001011101100000
3100112102102201222000
43130022201131200
530031044333031
61410305444000
7160351215552
oct33412413540
910472381860
103693746016
111626029064
12871040600
1346b34413c
142707d34d2
1516942d3e6
hexdc2a1760

3693746016 has 96 divisors (see below), whose sum is σ = 10784198880. Its totient is φ = 1230018048.

The previous prime is 3693746011. The next prime is 3693746033. The reversal of 3693746016 is 6106473963.

3693746016 is a `hidden beast` number, since 3 + 6 + 9 + 37 + 4 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3693746011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1378470 + ... + 1381146.

It is an arithmetic number, because the mean of its divisors is an integer number (112335405).

Almost surely, 23693746016 is an apocalyptic number.

3693746016 is a gapful number since it is divisible by the number (36) 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 3693746016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392099440).

3693746016 is an abundant number, since it is smaller than the sum of its proper divisors (7090452864).

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

3693746016 is a wasteful number, since it uses less digits than its factorization.

3693746016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4293 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3693746016 is about 60776.1961297349. The cubic root of 3693746016 is about 1545.8084486039.

The spelling of 3693746016 in words is "three billion, six hundred ninety-three million, seven hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1597 2677 3194 4791 5354 6388 8031 9582 10708 12776 14373 16062 19164 21416 24093 25552 28746 32124 38328 42832 43119 48186 51104 57492 64248 72279 76656 85664 86238 96372 114984 128496 144558 153312 172476 192744 229968 256992 289116 344952 385488 459936 578232 689904 770976 1156464 1379808 2312928 4275169 8550338 12825507 17100676 25651014 34201352 38476521 51302028 68402704 76953042 102604056 115429563 136805408 153906084 205208112 230859126 307812168 410416224 461718252 615624336 923436504 1231248672 1846873008 3693746016