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474874354272 = 253103173277603
BaseRepresentation
bin1101110100100001011…
…01111001101001100000
31200101201210212122220010
412322100231321221200
530240020313314042
61002053153244520
746210554261033
oct6722055715140
91611653778803
10474874354272
11173436213a2a
127804a563740
1335a1b891996
1418dac2d101a
15c544de259c
hex6e90b79a60

474874354272 has 96 divisors (see below), whose sum is σ = 1265927539968. Its totient is φ = 155847983616.

The previous prime is 474874354211. The next prime is 474874354289. The reversal of 474874354272 is 272453478474.

474874354272 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1571823 + ... + 1849425.

It is an arithmetic number, because the mean of its divisors is an integer number (13186745208).

Almost surely, 2474874354272 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 474874354272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632963769984).

474874354272 is an abundant number, since it is smaller than the sum of its proper divisors (791053185696).

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

474874354272 is a wasteful number, since it uses less digits than its factorization.

474874354272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277892 (or 277884 counting only the distinct ones).

The product of its digits is 42147840, while the sum is 57.

The spelling of 474874354272 in words is "four hundred seventy-four billion, eight hundred seventy-four million, three hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 173 206 309 346 412 519 618 692 824 1038 1236 1384 1648 2076 2472 2768 3296 4152 4944 5536 8304 9888 16608 17819 35638 53457 71276 106914 142552 213828 277603 285104 427656 555206 570208 832809 855312 1110412 1665618 1710624 2220824 3331236 4441648 6662472 8883296 13324944 26649888 28593109 48025319 57186218 85779327 96050638 114372436 144075957 171558654 192101276 228744872 288151914 343117308 384202552 457489744 576303828 686234616 768405104 914979488 1152607656 1372469232 1536810208 2305215312 2744938464 4610430624 4946607857 9893215714 14839823571 19786431428 29679647142 39572862856 59359294284 79145725712 118718588568 158291451424 237437177136 474874354272