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2479145472 = 29324711447
BaseRepresentation
bin1001001111000100…
…1100001000000000
320101202221122020200
42103301030020000
520034130123342
61050000405200
7115302250236
oct22361141000
96352848220
102479145472
11106245a761
12592316800
1330680a0ab
14197382956
15e79ab94c
hex93c4c200

2479145472 has 120 divisors (see below), whose sum is σ = 7307853696. Its totient is φ = 808728576.

The previous prime is 2479145443. The next prime is 2479145491. The reversal of 2479145472 is 2745419742.

2479145472 is a `hidden beast` number, since 2 + 47 + 91 + 454 + 72 = 666.

It is a super-2 number, since 2×24791454722 = 12292324542676205568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210853 + ... + 222299.

Almost surely, 22479145472 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 2479145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653926848).

2479145472 is an abundant number, since it is smaller than the sum of its proper divisors (4828708224).

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

2479145472 is a wasteful number, since it uses less digits than its factorization.

2479145472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11518 (or 11499 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 2479145472 is about 49791.0179851748. The cubic root of 2479145472 is about 1353.4244059063.

The spelling of 2479145472 in words is "two billion, four hundred seventy-nine million, one hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 512 564 576 752 768 846 1128 1152 1504 1536 1692 2256 2304 3008 3384 4512 4608 6016 6768 9024 11447 12032 13536 18048 22894 24064 27072 34341 36096 45788 54144 68682 72192 91576 103023 108288 137364 183152 206046 216576 274728 366304 412092 538009 549456 732608 824184 1076018 1098912 1465216 1614027 1648368 2152036 2197824 2930432 3228054 3296736 4304072 4395648 4842081 5860864 6456108 6593472 8608144 8791296 9684162 12912216 13186944 17216288 17582592 19368324 25824432 26373888 34432576 38736648 51648864 52747776 68865152 77473296 103297728 137730304 154946592 206595456 275460608 309893184 413190912 619786368 826381824 1239572736 2479145472