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4115704692 = 223111711811553
BaseRepresentation
bin1111010101010000…
…1010101101110100
3101121211102110110010
43311110022231310
531412110022232
61520221500220
7203663625021
oct36524125564
911554373403
104115704692
111822231940
1296a411670
135078a3528
142b0872548
151914cd0cc
hexf550ab74

4115704692 has 96 divisors (see below), whose sum is σ = 11109135744. Its totient is φ = 1172070400.

The previous prime is 4115704687. The next prime is 4115704711. The reversal of 4115704692 is 2964075114.

It is a super-2 number, since 2×41157046922 = 33878050223501629728, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4115704692.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2649388 + ... + 2650940.

It is an arithmetic number, because the mean of its divisors is an integer number (115720164).

Almost surely, 24115704692 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 4115704692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5554567872).

4115704692 is an abundant number, since it is smaller than the sum of its proper divisors (6993431052).

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

4115704692 is a wasteful number, since it uses less digits than its factorization.

4115704692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 4115704692 is about 64153.7582063592. The cubic root of 4115704692 is about 1602.5616117563.

It can be divided in two parts, 4115 and 704692, that added together give a palindrome (708807).

The spelling of 4115704692 in words is "four billion, one hundred fifteen million, seven hundred four thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 1181 1553 2244 2362 3106 3543 4659 4724 6212 7086 9318 12991 14172 17083 18636 20077 25982 26401 34166 38973 40154 51249 51964 52802 60231 68332 77946 79203 80308 102498 105604 120462 155892 158406 204996 220847 240924 290411 316812 441694 580822 662541 871233 883388 1161644 1325082 1742466 1834093 2650164 3484932 3668186 5502279 7336372 11004558 20175023 22009116 31179581 40350046 60525069 62359162 80700092 93538743 121050138 124718324 187077486 242100276 342975391 374154972 685950782 1028926173 1371901564 2057852346 4115704692