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1053246332032 = 27236110356941
BaseRepresentation
bin11110101001110100101…
…11111001110010000000
310201200121112210100110121
433110322113321302000
5114224022030111112
62123504340110024
7136044266051446
oct17247227716200
93650545710417
101053246332032
11376752107284
12150162095314
1378422779a9b
1438d97d82b96
151c5e610c407
hexf53a5f9c80

1053246332032 has 128 divisors (see below), whose sum is σ = 2247031537920. Its totient is φ = 490649702400.

The previous prime is 1053246331967. The next prime is 1053246332087. The reversal of 1053246332032 is 2302336423501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10532463320322 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18468682 + ... + 18525622.

It is an arithmetic number, because the mean of its divisors is an integer number (17554933890).

Almost surely, 21053246332032 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 1053246332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123515768960).

1053246332032 is an abundant number, since it is smaller than the sum of its proper divisors (1193785205888).

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

1053246332032 is a wasteful number, since it uses less digits than its factorization.

1053246332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57142 (or 57130 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

The spelling of 1053246332032 in words is "one trillion, fifty-three billion, two hundred forty-six million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 61 64 92 103 122 128 184 206 244 368 412 488 736 824 976 1403 1472 1648 1952 2369 2806 2944 3296 3904 4738 5612 6283 6592 7808 9476 11224 12566 13184 18952 22448 25132 37904 44896 50264 56941 75808 89792 100528 113882 144509 151616 179584 201056 227764 289018 303232 402112 455528 578036 804224 911056 1156072 1309643 1822112 2312144 2619286 3473401 3644224 4624288 5238572 5864923 6946802 7288448 9248576 10477144 11729846 13893604 18497152 20954288 23459692 27787208 41908576 46919384 55574416 79888223 83817152 93838768 111148832 134893229 159776446 167634304 187677536 222297664 269786458 319552892 357760303 375355072 444595328 539572916 639105784 715520606 750710144 1079145832 1278211568 1431041212 2158291664 2556423136 2862082424 4316583328 5112846272 5724164848 8228486969 8633166656 10225692544 11448329696 16456973938 17266333312 22896659392 32913947876 45793318784 65827895752 131655791504 263311583008 526623166016 1053246332032