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9445246649344 = 21011287312
BaseRepresentation
bin1000100101110010010010…
…0100100100010000000000
31020102221211110221010200201
42021130210210210100000
52214222331120234334
632031030355254544
71663253005562662
oct211344444442000
936387743833621
109445246649344
113011785550900
121086675baa454
135368b554a70c
1424921c1a0532
15115a5c4d4c14
hex89724924400

9445246649344 has 99 divisors (see below), whose sum is σ = 20756169308343. Its totient is φ = 4292802201600.

The previous prime is 9445246649341. The next prime is 9445246649359. The reversal of 9445246649344 is 4439466425449.

It is a happy number.

The square root of 9445246649344 is 3073312.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9445246649341) 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 8 ways as a sum of consecutive naturals, for example, 1081801459 + ... + 1081810189.

Almost surely, 29445246649344 is an apocalyptic number.

9445246649344 is the 3073312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9445246649344

9445246649344 is an abundant number, since it is smaller than the sum of its proper divisors (11310922658999).

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

9445246649344 is an frugal number, since it uses more digits than its factorization.

9445246649344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17504 (or 8744 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 64.

Multiplying 9445246649344 by its sum of digits (64), we get a square (604495785558016 = 245864962).

9445246649344 divided by its sum of digits (64) gives a square (147581978896 = 3841642).

The spelling of 9445246649344 in words is "nine trillion, four hundred forty-five billion, two hundred forty-six million, six hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2816 3872 5632 7744 8731 11264 15488 17462 30976 34924 61952 69848 96041 123904 139696 192082 279392 384164 558784 768328 1056451 1117568 1536656 2112902 2235136 3073312 4225804 4470272 6146624 8451608 8940544 12293248 16903216 24586496 33806432 49172992 67612864 76230361 98345984 135225728 152460722 270451456 304921444 540902912 609842888 838533971 1081805824 1219685776 1677067942 2439371552 3354135884 4878743104 6708271768 9223873681 9757486208 13416543536 18447747362 19514972416 26833087072 36895494724 39029944832 53666174144 73790989448 78059889664 107332348288 147581978896 214664696576 295163957792 429329393152 590327915584 858658786304 1180655831168 2361311662336 4722623324672 9445246649344