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40697072100 = 223252199227231
BaseRepresentation
bin100101111001101111…
…000000100111100100
310220001020201110122200
4211321233000213210
51131321422301400
630410155254500
72640340255656
oct457157004744
9126036643580
1040697072100
1116294488693
127a7944a430
133ab7608069
141d80dc26d6
1510d2ccbb00
hex979bc09e4

40697072100 has 108 divisors (see below), whose sum is σ = 128204294400. Its totient is φ = 10797969600.

The previous prime is 40697072099. The next prime is 40697072113. The reversal of 40697072100 is 127079604.

It is a happy number.

40697072100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65485 + ... + 292715.

It is an arithmetic number, because the mean of its divisors is an integer number (1187076800).

Almost surely, 240697072100 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 40697072100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64102147200).

40697072100 is an abundant number, since it is smaller than the sum of its proper divisors (87507222300).

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

40697072100 is a wasteful number, since it uses less digits than its factorization.

40697072100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227450 (or 227440 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 40697072100 in words is "forty billion, six hundred ninety-seven million, seventy-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 199 225 300 398 450 597 796 900 995 1194 1791 1990 2388 2985 3582 3980 4975 5970 7164 8955 9950 11940 14925 17910 19900 29850 35820 44775 59700 89550 179100 227231 454462 681693 908924 1136155 1363386 2045079 2272310 2726772 3408465 4090158 4544620 5680775 6816930 8180316 10225395 11361550 13633860 17042325 20450790 22723100 34084650 40901580 45218969 51126975 68169300 90437938 102253950 135656907 180875876 204507900 226094845 271313814 406970721 452189690 542627628 678284535 813941442 904379380 1130474225 1356569070 1627882884 2034853605 2260948450 2713138140 3391422675 4069707210 4521896900 6782845350 8139414420 10174268025 13565690700 20348536050 40697072100