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474349012900 = 22527298392
BaseRepresentation
bin1101110011100010110…
…01111000011110100100
31200100101012100120000021
412321301121320132210
530232431321403100
61001525105324524
746161545040400
oct6716131703644
91610335316007
10474349012900
11173196719204
1277b22636744
1335966aa61b9
1418d5c620100
15c513c20a1a
hex6e716787a4

474349012900 has 81 divisors (see below), whose sum is σ = 1197514147809. Its totient is φ = 162617417760.

The previous prime is 474349012897. The next prime is 474349012903. The reversal of 474349012900 is 9210943474.

The square root of 474349012900 is 688730.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (474349012897) and next prime (474349012903).

It can be written as a sum of positive squares in only one way, i.e., 170765644644 + 303583368256 = 413238^2 + 550984^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (474349012903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48206181 + ... + 48216019.

Almost surely, 2474349012900 is an apocalyptic number.

474349012900 is the 688730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474349012900

474349012900 is an abundant number, since it is smaller than the sum of its proper divisors (723165134909).

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

474349012900 is an frugal number, since it uses more digits than its factorization.

474349012900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19706 (or 9853 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 474349012900 in words is "four hundred seventy-four billion, three hundred forty-nine million, twelve thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 9839 19678 39356 49195 68873 98390 137746 196780 245975 275492 344365 482111 491950 688730 964222 983900 1377460 1721825 1928444 2410555 3443650 4821110 6887300 9642220 12052775 24105550 48211100 96805921 193611842 387223684 484029605 677641447 968059210 1355282894 1936118420 2420148025 2710565788 3388207235 4743490129 4840296050 6776414470 9486980258 9680592100 13552828940 16941036175 18973960516 23717450645 33882072350 47434901290 67764144700 94869802580 118587253225 237174506450 474349012900