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4197692136 = 23311731391567
BaseRepresentation
bin1111101000110011…
…1011001011101000
3101211112200212002010
43322030323023220
532044102122021
61532311035520
7206010536331
oct37214731350
911745625063
104197692136
111864540260
1299196bba0
1351b87b401
142bb6d5288
151987c5976
hexfa33b2e8

4197692136 has 128 divisors (see below), whose sum is σ = 11696025600. Its totient is φ = 1244782080.

The previous prime is 4197692131. The next prime is 4197692137. The reversal of 4197692136 is 6312967914.

It is not an unprimeable number, because it can be changed into a prime (4197692131) 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, 2678025 + ... + 2679591.

It is an arithmetic number, because the mean of its divisors is an integer number (91375200).

Almost surely, 24197692136 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 4197692136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5848012800).

4197692136 is an abundant number, since it is smaller than the sum of its proper divisors (7498333464).

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

4197692136 is a wasteful number, since it uses less digits than its factorization.

4197692136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1795 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 4197692136 is about 64789.5989800832. The cubic root of 4197692136 is about 1613.1330701419.

The spelling of 4197692136 in words is "four billion, one hundred ninety-seven million, six hundred ninety-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 139 146 219 264 278 292 417 438 556 584 803 834 876 1112 1529 1567 1606 1668 1752 2409 3058 3134 3212 3336 4587 4701 4818 6116 6268 6424 9174 9402 9636 10147 12232 12536 17237 18348 18804 19272 20294 30441 34474 36696 37608 40588 51711 60882 68948 81176 103422 111617 114391 121764 137896 206844 217813 223234 228782 243528 334851 343173 413688 435626 446468 457564 653439 669702 686346 871252 892936 915128 1258301 1306878 1339404 1372692 1742504 2395943 2516602 2613756 2678808 2745384 3774903 4791886 5033204 5227512 7187829 7549806 9583772 10066408 14375658 15099612 15900349 19167544 28751316 30199224 31800698 47701047 57502632 63601396 95402094 127202792 174903839 190804188 349807678 381608376 524711517 699615356 1049423034 1399230712 2098846068 4197692136