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71106070400 = 275241541967
BaseRepresentation
bin100001000111001000…
…0001000011110000000
320210112111121122012222
41002032100020132000
52131111123223100
652355441510212
75065034424461
oct1021620103600
9223474548188
1071106070400
1128179583142
1211945342368
136922642391
143627894d68
151cb2795485
hex108e408780

71106070400 has 96 divisors (see below), whose sum is σ = 179938795680. Its totient is φ = 27748659200.

The previous prime is 71106070397. The next prime is 71106070403. The reversal of 71106070400 is 407060117.

It is an interprime number because it is at equal distance from previous prime (71106070397) and next prime (71106070403).

It is a self number, because there is not a number n which added to its sum of digits gives 71106070400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71106070403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139784 + ... + 402183.

It is an arithmetic number, because the mean of its divisors is an integer number (1874362455).

Almost surely, 271106070400 is an apocalyptic number.

It is an amenable number.

71106070400 is an abundant number, since it is smaller than the sum of its proper divisors (108832725280).

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

71106070400 is a wasteful number, since it uses less digits than its factorization.

71106070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542032 (or 542015 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The spelling of 71106070400 in words is "seventy-one billion, one hundred six million, seventy thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 128 160 164 200 205 320 328 400 410 640 656 800 820 1025 1312 1600 1640 2050 2624 3200 3280 4100 5248 6560 8200 13120 16400 26240 32800 65600 131200 541967 1083934 2167868 2709835 4335736 5419670 8671472 10839340 13549175 17342944 21678680 22220647 27098350 34685888 43357360 44441294 54196700 69371776 86714720 88882588 108393400 111103235 173429440 177765176 216786800 222206470 346858880 355530352 433573600 444412940 555516175 711060704 867147200 888825880 1111032350 1422121408 1734294400 1777651760 2222064700 2844242816 3555303520 4444129400 7110607040 8888258800 14221214080 17776517600 35553035200 71106070400