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472325105800 = 235237299921283
BaseRepresentation
bin1101101111110001100…
…01010010100010001000
31200011011011000102102001
412313320301102202020
530214310211341200
61000552210120344
746060441104532
oct6677061224210
91604134012361
10472325105800
11172348232909
12776588800b4
13357036ab232
1418c09900852
15c4461d976a
hex6df8c52888

472325105800 has 96 divisors (see below), whose sum is σ = 1128264840000. Its totient is φ = 183753895680.

The previous prime is 472325105779. The next prime is 472325105803. The reversal of 472325105800 is 8501523274.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 472325105800.

It is not an unprimeable number, because it can be changed into a prime (472325105803) 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, 22181959 + ... + 22203241.

It is an arithmetic number, because the mean of its divisors is an integer number (11752758750).

Almost surely, 2472325105800 is an apocalyptic number.

472325105800 is a gapful number since it is divisible by the number (40) 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 472325105800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564132420000).

472325105800 is an abundant number, since it is smaller than the sum of its proper divisors (655939734200).

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

472325105800 is a wasteful number, since it uses less digits than its factorization.

472325105800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24335 (or 24326 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The spelling of 472325105800 in words is "four hundred seventy-two billion, three hundred twenty-five million, one hundred five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 2999 3700 5998 7400 11996 14995 21283 23992 29990 42566 59980 74975 85132 106415 110963 119960 149950 170264 212830 221926 299900 425660 443852 532075 554815 599800 787471 851320 887704 1064150 1109630 1574942 2128300 2219260 2774075 3149884 3937355 4256600 4438520 5548150 6299768 7874710 11096300 15749420 19686775 22192600 31498840 39373550 63827717 78747100 127655434 157494200 255310868 319138585 510621736 638277170 1276554340 1595692925 2361625529 2553108680 3191385850 4723251058 6382771700 9446502116 11808127645 12765543400 18893004232 23616255290 47232510580 59040638225 94465021160 118081276450 236162552900 472325105800