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2903071912 = 23131729411381
BaseRepresentation
bin1010110100001001…
…0101110010101000
321111022122022222221
42231002111302220
521421141300122
61200022523424
7131640463336
oct25502256250
97438568887
102903071912
11125a787994
12690296574
133735a8040
141d77b4b56
1511ece96c7
hexad095ca8

2903071912 has 128 divisors (see below), whose sum is σ = 6582189600. Its totient is φ = 1187020800.

The previous prime is 2903071909. The next prime is 2903071949. The reversal of 2903071912 is 2191703092.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 7986276 + 2895085636 = 2826^2 + 53806^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2101462 + ... + 2102842.

Almost surely, 22903071912 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 2903071912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291094800).

2903071912 is an abundant number, since it is smaller than the sum of its proper divisors (3679117688).

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

2903071912 is a wasteful number, since it uses less digits than its factorization.

2903071912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 2903071912 is about 53880.1625090348. The cubic root of 2903071912 is about 1426.5464957835.

The spelling of 2903071912 in words is "two billion, nine hundred three million, seventy-one thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 17 26 29 34 41 52 58 68 82 104 116 136 164 221 232 328 377 442 493 533 697 754 884 986 1066 1189 1381 1394 1508 1768 1972 2132 2378 2762 2788 3016 3944 4264 4756 5524 5576 6409 9061 9512 11048 12818 15457 17953 18122 20213 23477 25636 30914 35906 36244 40049 40426 46954 51272 56621 61828 71812 72488 80098 80852 93908 113242 123656 143624 160196 161704 187816 226484 262769 305201 320392 452968 520637 525538 610402 680833 736073 962557 1041274 1051076 1220804 1361666 1472146 1642009 1925114 2082548 2102152 2441608 2723332 2944292 3284018 3850228 4165096 5446664 5888584 6568036 7700456 8850829 12513241 13136072 17701658 21346117 25026482 27914153 35403316 42692234 50052964 55828306 70806632 85384468 100105928 111656612 170768936 223313224 362883989 725767978 1451535956 2903071912