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5461501472 = 2571011631481
BaseRepresentation
bin1010001011000011…
…11110011000100000
3112002121210000120022
411011201332120200
542141121021342
62301534533012
7252224665550
oct50541763040
915077700508
105461501472
112352969989
121085067168
1369065469b
1439b4b5160
1521e7179d2
hex14587e620

5461501472 has 96 divisors (see below), whose sum is σ = 12494611584. Its totient is φ = 2301696000.

The previous prime is 5461501457. The next prime is 5461501489. The reversal of 5461501472 is 2741051645.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3686972 + ... + 3688452.

It is an arithmetic number, because the mean of its divisors is an integer number (130152204).

Almost surely, 25461501472 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 5461501472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6247305792).

5461501472 is an abundant number, since it is smaller than the sum of its proper divisors (7033110112).

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

5461501472 is a wasteful number, since it uses less digits than its factorization.

5461501472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 5461501472 is about 73901.9720440531. The cubic root of 5461501472 is about 1761.0459382108.

The spelling of 5461501472 in words is "five billion, four hundred sixty-one million, five hundred one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 101 112 163 202 224 326 404 652 707 808 1141 1304 1414 1481 1616 2282 2608 2828 2962 3232 4564 5216 5656 5924 9128 10367 11312 11848 16463 18256 20734 22624 23696 32926 36512 41468 47392 65852 82936 115241 131704 149581 165872 230482 241403 263408 299162 331744 460964 482806 526816 598324 921928 965612 1047067 1196648 1689821 1843856 1931224 2094134 2393296 3379642 3687712 3862448 4188268 4786592 6759284 7724896 8376536 13518568 16753072 24381703 27037136 33506144 48763406 54074272 97526812 170671921 195053624 341343842 390107248 682687684 780214496 1365375368 2730750736 5461501472