Search a number
-
+
54472621752500 = 2254710872863589
BaseRepresentation
bin11000110001010111001010…
…10001010000000010110100
321010212112100200001121020212
430120223211101100002310
524114434412132040000
6311504213231444552
714321342230144220
oct1430534521200264
9233775320047225
1054472621752500
11163a1788976626
1261391aa986758
1324519914c2313
14d646bb9c7780
15646e57d9ec35
hex318ae54500b4

54472621752500 has 120 divisors (see below), whose sum is σ = 136263265797120. Its totient is φ = 18659139408000.

The previous prime is 54472621752491. The next prime is 54472621752511. The reversal of 54472621752500 is 525712627445.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17590706 + ... + 20454294.

It is an arithmetic number, because the mean of its divisors is an integer number (1135527214976).

Almost surely, 254472621752500 is an apocalyptic number.

54472621752500 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 54472621752500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68131632898560).

54472621752500 is an abundant number, since it is smaller than the sum of its proper divisors (81790644044620).

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

54472621752500 is a wasteful number, since it uses less digits than its factorization.

54472621752500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864707 (or 2864690 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 50.

The spelling of 54472621752500 in words is "fifty-four trillion, four hundred seventy-two billion, six hundred twenty-one million, seven hundred fifty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 625 700 875 1087 1250 1750 2174 2500 3500 4348 4375 5435 7609 8750 10870 15218 17500 21740 27175 30436 38045 54350 76090 108700 135875 152180 190225 271750 380450 543500 679375 760900 951125 1358750 1902250 2717500 2863589 3804500 4755625 5727178 9511250 11454356 14317945 19022500 20045123 28635890 40090246 57271780 71589725 80180492 100225615 143179450 200451230 286358900 357948625 400902460 501128075 715897250 1002256150 1431794500 1789743125 2004512300 2505640375 3112721243 3579486250 5011280750 6225442486 7158972500 10022561500 12450884972 12528201875 15563606215 21789048701 25056403750 31127212430 43578097402 50112807500 62254424860 77818031075 87156194804 108945243505 155636062150 217890487010 311272124300 389090155375 435780974020 544726217525 778180310750 1089452435050 1556360621500 1945450776875 2178904870100 2723631087625 3890901553750 5447262175250 7781803107500 10894524350500 13618155438125 27236310876250 54472621752500