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1331089266472 = 2371752114531847
BaseRepresentation
bin10011010111101011000…
…110100101011100101000
311201020202220021211021221
4103113223012211130220
5133302032323011342
62455254410311424
7165111430040260
oct23275306453450
94636686254257
101331089266472
1147356a20a249
12195b83128574
13986a10527c4
14485d453a7a0
15249584b4a67
hex135eb1a5728

1331089266472 has 128 divisors (see below), whose sum is σ = 3029637219840. Its totient is φ = 535220674560.

The previous prime is 1331089266449. The next prime is 1331089266473. The reversal of 1331089266472 is 2746629801331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1331089266473) 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, 720675453 + ... + 720677299.

It is an arithmetic number, because the mean of its divisors is an integer number (23669040780).

Almost surely, 21331089266472 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 1331089266472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514818609920).

1331089266472 is an abundant number, since it is smaller than the sum of its proper divisors (1698547953368).

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

1331089266472 is a wasteful number, since it uses less digits than its factorization.

1331089266472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851 (or 3847 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 1331089266472 in words is "one trillion, three hundred thirty-one billion, eighty-nine million, two hundred sixty-six thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 521 952 1042 1453 1847 2084 2906 3647 3694 4168 5812 7294 7388 8857 10171 11624 12929 14588 14776 17714 20342 24701 25858 29176 31399 35428 40684 49402 51716 61999 62798 70856 81368 98804 103432 123998 125596 172907 197608 219793 247996 251192 345814 439586 495992 691628 757013 879172 962287 1383256 1514026 1758344 1924574 2683691 3028052 3849148 5299091 5367382 6056104 6736009 7698296 10598182 10734764 12869221 13472018 16358879 18785837 21196364 21469528 25738442 26944036 32717758 37571674 42392728 45622747 51476884 53888072 65435516 75143348 90084547 91245494 102953768 114512153 130871032 150286696 180169094 182490988 229024306 319359229 360338188 364981976 458048612 638718458 720676376 916097224 1277436916 1398203011 2554873832 2796406022 5592812044 9787421077 11185624088 19574842154 23769451187 39149684308 47538902374 78299368616 95077804748 166386158309 190155609496 332772316618 665544633236 1331089266472