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75027709952 = 2271343
BaseRepresentation
bin100010111100000000…
…0000000000000000000
321011122210212120100022
41011320000000000000
52212124043204302
654244532113012
75264154004106
oct1057000000000
9234583776308
1075027709952
1129901205a68
121265a765768
1370c8c58a60
1438ba64bc76
151e41bdc8a2
hex1178000000

75027709952 has 112 divisors (see below), whose sum is σ = 165356240280. Its totient is φ = 33822867456.

The previous prime is 75027709949. The next prime is 75027709961. The reversal of 75027709952 is 25990772057.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 75027709894 and 75027709903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1744830443 + ... + 1744830485.

Almost surely, 275027709952 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 75027709952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82678120140).

75027709952 is an abundant number, since it is smaller than the sum of its proper divisors (90328530328).

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

75027709952 is an frugal number, since it uses more digits than its factorization.

75027709952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 53.

The spelling of 75027709952 in words is "seventy-five billion, twenty-seven million, seven hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 256 344 416 512 559 688 832 1024 1118 1376 1664 2048 2236 2752 3328 4096 4472 5504 6656 8192 8944 11008 13312 16384 17888 22016 26624 32768 35776 44032 53248 65536 71552 88064 106496 131072 143104 176128 212992 262144 286208 352256 425984 524288 572416 704512 851968 1048576 1144832 1409024 1703936 2097152 2289664 2818048 3407872 4194304 4579328 5636096 6815744 8388608 9158656 11272192 13631488 16777216 18317312 22544384 27262976 33554432 36634624 45088768 54525952 67108864 73269248 90177536 109051904 134217728 146538496 180355072 218103808 293076992 360710144 436207616 586153984 721420288 872415232 1172307968 1442840576 1744830464 2344615936 2885681152 4689231872 5771362304 9378463744 18756927488 37513854976 75027709952