Search a number
-
+
480120197025 = 352723120133107
BaseRepresentation
bin1101111110010010110…
…01001100111110100001
31200220021101212002022110
412333021121030332201
530331241232301100
61004321510025533
746454553224160
oct6771131147641
91626241762273
10480120197025
11175688375267
12790733482a9
1336376638951
1419348ca93d7
15c75070b250
hex6fc964cfa1

480120197025 has 96 divisors (see below), whose sum is σ = 947458787328. Its totient is φ = 209759616000.

The previous prime is 480120197023. The next prime is 480120197033. The reversal of 480120197025 is 520791021084.

It is not a de Polignac number, because 480120197025 - 21 = 480120197023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (480120197023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14485522 + ... + 14518628.

It is an arithmetic number, because the mean of its divisors is an integer number (9869362368).

Almost surely, 2480120197025 is an apocalyptic number.

It is an amenable number.

480120197025 is a deficient number, since it is larger than the sum of its proper divisors (467338590303).

480120197025 is a wasteful number, since it uses less digits than its factorization.

480120197025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34351 (or 34346 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 480120197025 in words is "four hundred eighty billion, one hundred twenty million, one hundred ninety-seven thousand, twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 69 75 105 115 161 175 345 483 525 575 805 1201 1725 2415 3603 4025 6005 8407 12075 18015 25221 27623 30025 33107 42035 82869 90075 99321 126105 138115 165535 193361 210175 231749 414345 496605 580083 630525 690575 695247 761461 827675 966805 1158745 2071725 2284383 2483025 2900415 3476235 3807305 4834025 5330227 5793725 11421915 14502075 15990681 17381175 19036525 26651135 39761507 57109575 79953405 119284521 133255675 198807535 278330549 399767025 596422605 834991647 914514661 994037675 1391652745 2743543983 2982113025 4174958235 4572573305 6401602627 6958263725 13717719915 19204807881 20874791175 22862866525 32008013135 68588599575 96024039405 160040065675 480120197025