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37075068228 = 223111316773167
BaseRepresentation
bin100010100001110110…
…001010010101000100
310112200211021121102010
4202201312022111010
51101412204140403
625010531214220
72451516610632
oct424166122504
9115624247363
1037075068228
11147a5a00560
127228447370
13365b0c26c3
141b19d46352
15e6ed20603
hex8a1d8a544

37075068228 has 96 divisors (see below), whose sum is σ = 95263838208. Its totient is φ = 11129123200.

The previous prime is 37075068223. The next prime is 37075068263. The reversal of 37075068228 is 82286057073.

It is a super-2 number, since 2×370750682282 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (37075068223) 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, 11705101 + ... + 11708267.

It is an arithmetic number, because the mean of its divisors is an integer number (992331648).

Almost surely, 237075068228 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 37075068228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47631919104).

37075068228 is an abundant number, since it is smaller than the sum of its proper divisors (58188769980).

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

37075068228 is a wasteful number, since it uses less digits than its factorization.

37075068228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 37075068228 in words is "thirty-seven billion, seventy-five million, sixty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 677 786 1354 1441 1572 2031 2708 2882 3167 4062 4323 5764 6334 7447 8124 8646 9501 12668 14894 17292 19002 22341 29788 34837 38004 44682 69674 88687 89364 104511 139348 177374 209022 266061 354748 414877 418044 532122 829754 975557 1064244 1244631 1659508 1951114 2144059 2489262 2926671 3902228 4288118 4563647 4978524 5853342 6432177 8576236 9127294 11706684 12864354 13690941 18254588 23584649 25728708 27381882 47169298 54763764 70753947 94338596 141507894 280871729 283015788 561743458 842615187 1123486916 1685230374 3089589019 3370460748 6179178038 9268767057 12358356076 18537534114 37075068228