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474092027448 = 233133160181559
BaseRepresentation
bin1101110011000100001…
…01100011111000111000
31200022201021210100020120
412321202011203320320
530231420024334243
61001443405253240
746152304512564
oct6714205437070
91608637710216
10474092027448
11173074654236
1277a70564220
13359257890c0
1418d364466a4
15c4eb3abc83
hex6e62163e38

474092027448 has 128 divisors (see below), whose sum is σ = 1319784345600. Its totient is φ = 140932224000.

The previous prime is 474092027447. The next prime is 474092027459. The reversal of 474092027448 is 844720290474.

It is a self number, because there is not a number n which added to its sum of digits gives 474092027448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474092027447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5772093 + ... + 5853651.

It is an arithmetic number, because the mean of its divisors is an integer number (10310815200).

Almost surely, 2474092027448 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 474092027448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659892172800).

474092027448 is an abundant number, since it is smaller than the sum of its proper divisors (845692318152).

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

474092027448 is a wasteful number, since it uses less digits than its factorization.

474092027448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82213 (or 82209 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 474092027448 in words is "four hundred seventy-four billion, ninety-two million, twenty-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 601 744 806 1202 1209 1612 1803 2404 2418 3224 3606 4808 4836 7212 7813 9672 14424 15626 18631 23439 31252 37262 46878 55893 62504 74524 81559 93756 111786 149048 163118 187512 223572 242203 244677 326236 447144 484406 489354 652472 726609 968812 978708 1060267 1453218 1937624 1957416 2120534 2528329 2906436 3180801 4241068 5056658 5812872 6361602 7584987 8482136 10113316 12723204 15169974 20226632 25446408 30339948 32868277 49016959 60679896 65736554 98033918 98604831 131473108 147050877 196067836 197209662 262946216 294101754 392135672 394419324 588203508 637220467 788838648 1176407016 1274440934 1519525729 1911661401 2548881868 3039051458 3823322802 4558577187 5097763736 6078102916 7646645604 9117154374 12156205832 15293291208 18234308748 19753834477 36468617496 39507668954 59261503431 79015337908 118523006862 158030675816 237046013724 474092027448