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4201665888 = 253723926161
BaseRepresentation
bin1111101001110000…
…0101010101100000
3101211211011202001010
43322130011111200
532101111302023
61532532140520
7206056366530
oct37234052540
911754152033
104201665888
111866804852
12993167740
1351c640044
142bc04b4c0
15198d0d093
hexfa705560

4201665888 has 96 divisors (see below), whose sum is σ = 12658222080. Its totient is φ = 1195407360.

The previous prime is 4201665863. The next prime is 4201665911. The reversal of 4201665888 is 8885661024.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 147528 + ... + 173688.

It is an arithmetic number, because the mean of its divisors is an integer number (131856480).

Almost surely, 24201665888 is an apocalyptic number.

4201665888 is a gapful number since it is divisible by the number (48) 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 4201665888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6329111040).

4201665888 is an abundant number, since it is smaller than the sum of its proper divisors (8456556192).

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

4201665888 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 4201665888 = (1866804852)11.

4201665888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26420 (or 26412 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 4201665888 is about 64820.2583148201. The cubic root of 4201665888 is about 1613.6419346068.

The spelling of 4201665888 in words is "four billion, two hundred one million, six hundred sixty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 239 336 478 672 717 956 1434 1673 1912 2868 3346 3824 5019 5736 6692 7648 10038 11472 13384 20076 22944 26161 26768 40152 52322 53536 78483 80304 104644 156966 160608 183127 209288 313932 366254 418576 549381 627864 732508 837152 1098762 1255728 1465016 2197524 2511456 2930032 4395048 5860064 6252479 8790096 12504958 17580192 18757437 25009916 37514874 43767353 50019832 75029748 87534706 100039664 131302059 150059496 175069412 200079328 262604118 300118992 350138824 525208236 600237984 700277648 1050416472 1400555296 2100832944 4201665888