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1328920552536 = 23317107113269387
BaseRepresentation
bin10011010101101001110…
…101100110010001011000
311201001011202110202001120
4103111221311212101120
5133233112130140121
62454255255245240
7165003614214153
oct23255165462130
94631152422046
101328920552536
11472657009385
12195678979820
1398416956615
144846a4c4c9a
152487cdc7bc6
hex13569d66458

1328920552536 has 128 divisors (see below), whose sum is σ = 3582041460480. Its totient is φ = 409363275776.

The previous prime is 1328920552481. The next prime is 1328920552537. The reversal of 1328920552536 is 6352550298231.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328920552537) 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, 4798435 + ... + 5067821.

It is an arithmetic number, because the mean of its divisors is an integer number (27984698910).

Almost surely, 21328920552536 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 1328920552536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791020730240).

1328920552536 is an abundant number, since it is smaller than the sum of its proper divisors (2253120907944).

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

1328920552536 is a wasteful number, since it uses less digits than its factorization.

1328920552536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269633 (or 269629 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 1328920552536 in words is "one trillion, three hundred twenty-eight billion, nine hundred twenty million, five hundred fifty-two thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 107 113 136 204 214 226 321 339 408 428 452 642 678 856 904 1284 1356 1819 1921 2568 2712 3638 3842 5457 5763 7276 7684 10914 11526 12091 14552 15368 21828 23052 24182 36273 43656 46104 48364 72546 96728 145092 205547 269387 290184 411094 538774 616641 808161 822188 1077548 1233282 1616322 1644376 2155096 2466564 3232644 4579579 4933128 6465288 9159158 13738737 18318316 27477474 28824409 30440731 36636632 54954948 57648818 60881462 86473227 91322193 109909896 115297636 121762924 172946454 182644386 230595272 243525848 345892908 365288772 490014953 517492427 691785816 730577544 980029906 1034984854 1470044859 1552477281 1960059812 2069969708 2940089718 3104954562 3257158217 3920119624 4139939416 5880179436 6209909124 6514316434 9771474651 11760358872 12419818248 13028632868 19542949302 26057265736 39085898604 55371689689 78171797208 110743379378 166115069067 221486758756 332230138134 442973517512 664460276268 1328920552536