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52121717200 = 2452719499551
BaseRepresentation
bin110000100010101100…
…100100100111010000
311222112110012120110101
4300202230210213100
51323221124422300
635535553142144
73523424200120
oct604254444720
9158473176411
1052121717200
1120117394643
12a12755a954
134bb84c27a7
142746430c80
151550c9bb6a
hexc22b249d0

52121717200 has 120 divisors (see below), whose sum is σ = 143199763200. Its totient is φ = 17859264000.

The previous prime is 52121717189. The next prime is 52121717201. The reversal of 52121717200 is 271712125.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52121717201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5452425 + ... + 5461975.

It is an arithmetic number, because the mean of its divisors is an integer number (1193331360).

Almost surely, 252121717200 is an apocalyptic number.

52121717200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52121717200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71599881600).

52121717200 is an abundant number, since it is smaller than the sum of its proper divisors (91078046000).

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

52121717200 is a wasteful number, since it uses less digits than its factorization.

52121717200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11525 (or 11514 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The spelling of 52121717200 in words is "fifty-two billion, one hundred twenty-one million, seven hundred seventeen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 1949 2800 3898 7796 9551 9745 13643 15592 19102 19490 27286 31184 38204 38980 47755 48725 54572 66857 68215 76408 77960 95510 97450 109144 133714 136430 152816 155920 191020 194900 218288 238775 267428 272860 334285 341075 382040 389800 477550 534856 545720 668570 682150 764080 779600 955100 1069712 1091440 1337140 1364300 1671425 1910200 2674280 2728600 3342850 3820400 5348560 5457200 6685700 13371400 18614899 26742800 37229798 74459596 93074495 130304293 148919192 186148990 260608586 297838384 372297980 465372475 521217172 651521465 744595960 930744950 1042434344 1303042930 1489191920 1861489900 2084868688 2606085860 3257607325 3722979800 5212171720 6515214650 7445959600 10424343440 13030429300 26060858600 52121717200