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20370995712 = 293229152441
BaseRepresentation
bin10010111110001101…
…001011101000000000
31221120200121210200200
4102332031023220000
5313204433330322
613205221045200
71320545415024
oct227615135000
957520553620
1020370995712
118703994651
123b46256800
131bc8502522
14db369a384
157e36008ac
hex4be34ba00

20370995712 has 120 divisors (see below), whose sum is σ = 60819784740. Its totient is φ = 6556139520.

The previous prime is 20370995699. The next prime is 20370995713. The reversal of 20370995712 is 21759907302.

20370995712 is a `hidden beast` number, since 2 + 0 + 3 + 70 + 9 + 9 + 571 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18885355776 + 1485639936 = 137424^2 + 38544^2 .

It is not an unprimeable number, because it can be changed into a prime (20370995713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57412 + ... + 209852.

Almost surely, 220370995712 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 20370995712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30409892370).

20370995712 is an abundant number, since it is smaller than the sum of its proper divisors (40448789028).

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

20370995712 is a wasteful number, since it uses less digits than its factorization.

20370995712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152494 (or 152475 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 20370995712 in words is "twenty billion, three hundred seventy million, nine hundred ninety-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1044 1152 1392 1536 1856 2088 2304 2784 3712 4176 4608 5568 7424 8352 11136 14848 16704 22272 33408 44544 66816 133632 152441 304882 457323 609764 914646 1219528 1371969 1829292 2439056 2743938 3658584 4420789 4878112 5487876 7317168 8841578 9756224 10975752 13262367 14634336 17683156 19512448 21951504 26524734 29268672 35366312 39024896 39787101 43903008 53049468 58537344 70732624 78049792 79574202 87806016 106098936 117074688 141465248 159148404 175612032 212197872 234149376 282930496 318296808 351224064 424395744 565860992 636593616 702448128 848791488 1131721984 1273187232 1697582976 2263443968 2546374464 3395165952 5092748928 6790331904 10185497856 20370995712