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4405496544 = 2532234315467
BaseRepresentation
bin1000001101001011…
…01000101011100000
3102101000201102010200
410012211220223200
533010301342134
62005053025200
7214113050151
oct40645505340
912330642120
104405496544
111960873839
12a2b485200
13552938ab7
142db149928
151abb72499
hex106968ae0

4405496544 has 144 divisors (see below), whose sum is σ = 13377716352. Its totient is φ = 1371896064.

The previous prime is 4405496527. The next prime is 4405496549. The reversal of 4405496544 is 4456945044.

4405496544 is a `hidden beast` number, since 4 + 4 + 0 + 549 + 65 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 4405496544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4405496549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277099 + ... + 292565.

It is an arithmetic number, because the mean of its divisors is an integer number (92900808).

Almost surely, 24405496544 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 4405496544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688858176).

4405496544 is an abundant number, since it is smaller than the sum of its proper divisors (8972219808).

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

4405496544 is a wasteful number, since it uses less digits than its factorization.

4405496544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15549 (or 15538 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The square root of 4405496544 is about 66373.9146351938. The cubic root of 4405496544 is about 1639.3245959683.

The spelling of 4405496544 in words is "four billion, four hundred five million, four hundred ninety-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 43 46 48 69 72 86 92 96 129 138 144 172 184 207 258 276 288 344 368 387 414 516 552 688 736 774 828 989 1032 1104 1376 1548 1656 1978 2064 2208 2967 3096 3312 3956 4128 5934 6192 6624 7912 8901 11868 12384 15467 15824 17802 23736 30934 31648 35604 46401 47472 61868 71208 92802 94944 123736 139203 142416 185604 247472 278406 284832 355741 371208 494944 556812 665081 711482 742416 1067223 1113624 1330162 1422964 1484832 1995243 2134446 2227248 2660324 2845928 3201669 3990486 4268892 4454496 5320648 5691856 5985729 6403338 7980972 8537784 10641296 11383712 11971458 12806676 15296863 15961944 17075568 21282592 23942916 25613352 30593726 31923888 34151136 45890589 47885832 51226704 61187452 63847776 91781178 95771664 102453408 122374904 137671767 183562356 191543328 244749808 275343534 367124712 489499616 550687068 734249424 1101374136 1468498848 2202748272 4405496544