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2107477372 = 2271113539931
BaseRepresentation
bin111110110011101…
…1000110101111100
312102212120221110111
41331213120311330
513304003233442
6545042315404
7103140155620
oct17547306574
95385527414
102107477372
11991685a40
124a9958b64
13277808440
1415dc75180
15c5042b17
hex7d9d8d7c

2107477372 has 96 divisors (see below), whose sum is σ = 5045773824. Its totient is φ = 743558400.

The previous prime is 2107477363. The next prime is 2107477399. The reversal of 2107477372 is 2737747012.

It is a happy number.

It is a congruent number.

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, 207247 + ... + 217177.

It is an arithmetic number, because the mean of its divisors is an integer number (52560144).

Almost surely, 22107477372 is an apocalyptic number.

2107477372 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2107477372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522886912).

2107477372 is an abundant number, since it is smaller than the sum of its proper divisors (2938296452).

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

2107477372 is a wasteful number, since it uses less digits than its factorization.

2107477372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10019 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 40.

The square root of 2107477372 is about 45907.2692718702. The cubic root of 2107477372 is about 1282.0972640932.

The spelling of 2107477372 in words is "two billion, one hundred seven million, four hundred seventy-seven thousand, three hundred seventy-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 53 77 91 106 143 154 182 212 286 308 364 371 572 583 689 742 1001 1166 1378 1484 2002 2332 2756 4004 4081 4823 7579 8162 9646 9931 15158 16324 19292 19862 30316 39724 53053 69517 106106 109241 129103 139034 212212 218482 258206 278068 436964 516412 526343 764687 903721 1052686 1420133 1529374 1807442 2105372 2840266 3058748 3614884 3684401 5680532 5789773 6842459 7368802 9940931 11579546 13684918 14737604 19881862 23159092 27369836 39763724 40528411 47897213 75267049 81056822 95794426 150534098 162113644 191588852 301068196 526869343 1053738686 2107477372