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2125472472 = 2332417110141
BaseRepresentation
bin111111010110000…
…0010001011011000
312111010110012002200
41332230002023120
513323110104342
6550524130200
7103446134514
oct17654021330
95433405080
102125472472
119a0856a22
124b3996960
1327b469126
141623db144
15c68e994c
hex7eb022d8

2125472472 has 96 divisors (see below), whose sum is σ = 5980534560. Its totient is φ = 681408000.

The previous prime is 2125472429. The next prime is 2125472473. The reversal of 2125472472 is 2742745212.

2125472472 is a `hidden beast` number, since 21 + 2 + 547 + 24 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125472473) 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, 204522 + ... + 214662.

It is an arithmetic number, because the mean of its divisors is an integer number (62297235).

Almost surely, 22125472472 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 2125472472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990267280).

2125472472 is an abundant number, since it is smaller than the sum of its proper divisors (3855062088).

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

2125472472 is a wasteful number, since it uses less digits than its factorization.

2125472472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10265 (or 10258 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The square root of 2125472472 is about 46102.8466800045. The cubic root of 2125472472 is about 1285.7360712922.

The spelling of 2125472472 in words is "two billion, one hundred twenty-five million, four hundred seventy-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 71 72 82 123 142 164 213 246 284 328 369 426 492 568 639 738 852 984 1278 1476 1704 2556 2911 2952 5112 5822 8733 10141 11644 17466 20282 23288 26199 30423 34932 40564 52398 60846 69864 81128 91269 104796 121692 182538 209592 243384 365076 415781 720011 730152 831562 1247343 1440022 1663124 2160033 2494686 2880044 3326248 3742029 4320066 4989372 5760088 6480099 7484058 8640132 9978744 12960198 14968116 17280264 25920396 29520451 29936232 51840792 59040902 88561353 118081804 177122706 236163608 265684059 354245412 531368118 708490824 1062736236 2125472472