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252861953472 = 2634116341941
BaseRepresentation
bin1110101101111110111…
…1110011010111000000
3220011200101101011020000
43223133233303113000
513120330130002342
6312055125120000
724161104066302
oct3533757632700
9804611334200
10252861953472
1198268a87257
124100ab59000
131aac9c9b29b
14c34a961972
15689e1e044c
hex3adfbf35c0

252861953472 has 140 divisors (see below), whose sum is σ = 750224439096. Its totient is φ = 84212835840.

The previous prime is 252861953467. The next prime is 252861953507. The reversal of 252861953472 is 274359168252.

252861953472 is a `hidden beast` number, since 2 + 5 + 2 + 86 + 1 + 95 + 3 + 472 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6008022 + ... + 6049962.

Almost surely, 2252861953472 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 252861953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375112219548).

252861953472 is an abundant number, since it is smaller than the sum of its proper divisors (497362485624).

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

252861953472 is a wasteful number, since it uses less digits than its factorization.

252861953472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43128 (or 43109 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 252861953472 in words is "two hundred fifty-two billion, eight hundred sixty-one million, nine hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1163 1296 1728 2326 2592 3489 4652 5184 6978 9304 10467 13956 18608 20934 27912 31401 37216 41868 41941 55824 62802 74432 83736 83882 94203 111648 125604 125823 167472 167764 188406 223296 251208 251646 334944 335528 376812 377469 502416 503292 669888 671056 753624 754938 1004832 1006584 1132407 1342112 1507248 1509876 2009664 2013168 2264814 2684224 3014496 3019752 3397221 4026336 4529628 6028992 6039504 6794442 8052672 9059256 12079008 13588884 18118512 24158016 27177768 36237024 48777383 54355536 72474048 97554766 108711072 146332149 195109532 217422144 292664298 390219064 438996447 585328596 780438128 877992894 1170657192 1316989341 1560876256 1755985788 2341314384 2633978682 3121752512 3511971576 3950968023 4682628768 5267957364 7023943152 7901936046 9365257536 10535914728 14047886304 15803872092 21071829456 28095772608 31607744184 42143658912 63215488368 84287317824 126430976736 252861953472