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1130532994272 = 253111517089937
BaseRepresentation
bin10000011100111001000…
…001000111110011100000
311000002002210021120210110
4100130321001013303200
5122010312421304042
62223205405331320
7144451442616363
oct20347101076340
94002083246713
101130532994272
113a6502447560
12163131266b40
13827bb7082a6
143ca0a6160da
151e61b2ae09c
hex10739047ce0

1130532994272 has 96 divisors (see below), whose sum is σ = 3258875821824. Its totient is φ = 340316928000.

The previous prime is 1130532994271. The next prime is 1130532994301. The reversal of 1130532994272 is 2724992350311.

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

It is a super-2 number, since 2×11305329942722 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130532994271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3385513 + ... + 3704424.

It is an arithmetic number, because the mean of its divisors is an integer number (33946623144).

Almost surely, 21130532994272 is an apocalyptic number.

1130532994272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1130532994272 is an abundant number, since it is smaller than the sum of its proper divisors (2128342827552).

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

1130532994272 is a wasteful number, since it uses less digits than its factorization.

1130532994272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7090112 (or 7090104 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 1130532994272 in words is "one trillion, one hundred thirty billion, five hundred thirty-two million, nine hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 151 176 264 302 352 453 528 604 906 1056 1208 1661 1812 2416 3322 3624 4832 4983 6644 7248 9966 13288 14496 19932 26576 39864 53152 79728 159456 7089937 14179874 21269811 28359748 42539622 56719496 77989307 85079244 113438992 155978614 170158488 226877984 233967921 311957228 340316976 467935842 623914456 680633952 935871684 1070580487 1247828912 1871743368 2141160974 2495657824 3211741461 3743486736 4282321948 6423482922 7486973472 8564643896 11776385357 12846965844 17129287792 23552770714 25693931688 34258575584 35329156071 47105541428 51387863376 70658312142 94211082856 102775726752 141316624284 188422165712 282633248568 376844331424 565266497136 1130532994272