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20172797952 = 211319172807
BaseRepresentation
bin10010110010011001…
…000111100000000000
31221001212200022110220
4102302121013200000
5312303214013302
613133421023040
71312620645006
oct226231074000
957055608426
1020172797952
11861202274a
123aab9b4a80
131b96429648
14d95226a76
157d10004bc
hex4b2647800

20172797952 has 96 divisors (see below), whose sum is σ = 56611900800. Its totient is φ = 6370320384.

The previous prime is 20172797947. The next prime is 20172797987. The reversal of 20172797952 is 25979727102.

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

It is a junction number, because it is equal to n+sod(n) for n = 20172797895 and 20172797904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30333 + ... + 203139.

It is an arithmetic number, because the mean of its divisors is an integer number (589707300).

Almost surely, 220172797952 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 20172797952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28305950400).

20172797952 is an abundant number, since it is smaller than the sum of its proper divisors (36439102848).

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

20172797952 is a wasteful number, since it uses less digits than its factorization.

20172797952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172851 (or 172831 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 51.

The spelling of 20172797952 in words is "twenty billion, one hundred seventy-two million, seven hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2048 2432 3072 3648 4864 6144 7296 9728 14592 19456 29184 38912 58368 116736 172807 345614 518421 691228 1036842 1382456 2073684 2764912 3283333 4147368 5529824 6566666 8294736 9849999 11059648 13133332 16589472 19699998 22119296 26266664 33178944 39399996 44238592 52533328 66357888 78799992 88477184 105066656 132715776 157599984 176954368 210133312 265431552 315199968 353908736 420266624 530863104 630399936 840533248 1061726208 1260799872 1681066496 2521599744 3362132992 5043199488 6724265984 10086398976 20172797952