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1012287873948 = 2231329981122807
BaseRepresentation
bin11101011101100010000…
…11110010001110011100
310120202220002020002122120
432232301003302032130
5113041131143431243
62053012202142540
7133064302646301
oct16566103621634
93522802202576
101012287873948
1136034412951a
121442311b1a50
13745c5c73980
1436dd039d0a8
151b4ea3ecc83
hexebb10f239c

1012287873948 has 96 divisors (see below), whose sum is σ = 2631795048960. Its totient is φ = 300688899840.

The previous prime is 1012287873941. The next prime is 1012287873997. The reversal of 1012287873948 is 8493787822101.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1012287873891 and 1012287873900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012287873941) 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, 44373561 + ... + 44396367.

It is an arithmetic number, because the mean of its divisors is an integer number (27414531760).

Almost surely, 21012287873948 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 1012287873948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315897524480).

1012287873948 is an abundant number, since it is smaller than the sum of its proper divisors (1619507175012).

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

1012287873948 is a wasteful number, since it uses less digits than its factorization.

1012287873948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32667 (or 32665 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 60.

The spelling of 1012287873948 in words is "one trillion, twelve billion, two hundred eighty-seven million, eight hundred seventy-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 4524 9811 19622 22807 29433 39244 45614 58866 68421 91228 117732 127543 136842 255086 273684 284519 296491 382629 510172 569038 592982 661403 765258 853557 889473 1138076 1185964 1322806 1530516 1707114 1778946 1984209 2645612 3414228 3557892 3698747 3968418 7397494 7936836 8598239 11096241 14794988 17196478 22192482 25794717 34392956 44384964 51589434 103178868 223759477 447518954 671278431 895037908 1342556862 2685113724 2908873201 5817746402 6489024833 8726619603 11635492804 12978049666 17453239206 19467074499 25956099332 34906478412 38934148998 77868297996 84357322829 168714645658 253071968487 337429291316 506143936974 1012287873948