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3923523968 = 277131811861
BaseRepresentation
bin1110100111011100…
…0011100110000000
3101010102210200001112
43221313003212000
531013410231333
61445154422452
7166141255250
oct35167034600
911112720045
103923523968
1117337aa6a1
12915b91a28
134a6b26320
14293127960
1517e6ba948
hexe9dc3980

3923523968 has 128 divisors (see below), whose sum is σ = 9678527040. Its totient is φ = 1542758400.

The previous prime is 3923523913. The next prime is 3923524001. The reversal of 3923523968 is 8693253293.

It is a tau number, because it is divible by the number of its divisors (128).

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, 2107358 + ... + 2109218.

Almost surely, 23923523968 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 3923523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839263520).

3923523968 is an abundant number, since it is smaller than the sum of its proper divisors (5755003072).

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

3923523968 is a wasteful number, since it uses less digits than its factorization.

3923523968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2064 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 50.

The square root of 3923523968 is about 62638.0393052018. The cubic root of 3923523968 is about 1577.2193746195.

The spelling of 3923523968 in words is "three billion, nine hundred twenty-three million, five hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 181 182 208 224 362 364 416 448 724 728 832 896 1267 1448 1456 1664 1861 2353 2534 2896 2912 3722 4706 5068 5792 5824 7444 9412 10136 11584 11648 13027 14888 16471 18824 20272 23168 24193 26054 29776 32942 37648 40544 48386 52108 59552 65884 75296 81088 96772 104216 119104 131768 150592 162176 169351 193544 208432 238208 263536 301184 336841 338702 387088 416864 527072 673682 677404 774176 833728 1054144 1347364 1354808 1548352 1667456 2108288 2357887 2694728 2709616 3096704 4378933 4715774 5389456 5419232 8757866 9431548 10778912 10838464 17515732 18863096 21557824 21676928 30652531 35031464 37726192 43115648 61305062 70062928 75452384 122610124 140125856 150904768 245220248 280251712 301809536 490440496 560503424 980880992 1961761984 3923523968