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3675441504 = 25377969233
BaseRepresentation
bin1101101100010010…
…1100100101100000
3100111010222202220010
43123010230211200
530011403112004
61404413244520
7160036510620
oct33304544540
910433882803
103675441504
111616766669
12866a93740
13467605677
1426c1ca880
15167a14a89
hexdb12c960

3675441504 has 96 divisors (see below), whose sum is σ = 11166059520. Its totient is φ = 1036818432.

The previous prime is 3675441493. The next prime is 3675441533. The reversal of 3675441504 is 4051445763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18472 + ... + 87704.

It is an arithmetic number, because the mean of its divisors is an integer number (116313120).

Almost surely, 23675441504 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 3675441504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583029760).

3675441504 is an abundant number, since it is smaller than the sum of its proper divisors (7490618016).

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

3675441504 is a wasteful number, since it uses less digits than its factorization.

3675441504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69332 (or 69324 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 3675441504 is about 60625.4196191663. The cubic root of 3675441504 is about 1543.2507797099.

The spelling of 3675441504 in words is "three billion, six hundred seventy-five million, four hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 79 84 96 112 158 168 224 237 316 336 474 553 632 672 948 1106 1264 1659 1896 2212 2528 3318 3792 4424 6636 7584 8848 13272 17696 26544 53088 69233 138466 207699 276932 415398 484631 553864 830796 969262 1107728 1453893 1661592 1938524 2215456 2907786 3323184 3877048 5469407 5815572 6646368 7754096 10938814 11631144 15508192 16408221 21877628 23262288 32816442 38285849 43755256 46524576 65632884 76571698 87510512 114857547 131265768 153143396 175021024 229715094 262531536 306286792 459430188 525063072 612573584 918860376 1225147168 1837720752 3675441504