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41822470480 = 2457377128429
BaseRepresentation
bin100110111100110100…
…000100000101010000
310222221200100122000011
4212330310010011100
51141123023023410
631114000404304
73010254063550
oct467464040520
9128850318004
1041822470480
111681177009a
128132316694
133c3680c36b
14204a653160
15114b9cd18a
hex9bcd04150

41822470480 has 160 divisors (see below), whose sum is σ = 115743306240. Its totient is φ = 13754603520.

The previous prime is 41822470477. The next prime is 41822470489. The reversal of 41822470480 is 8407422814.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41822470489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1456906 + ... + 1485334.

It is an arithmetic number, because the mean of its divisors is an integer number (723395664).

Almost surely, 241822470480 is an apocalyptic number.

41822470480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41822470480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57871653120).

41822470480 is an abundant number, since it is smaller than the sum of its proper divisors (73920835760).

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

41822470480 is a wasteful number, since it uses less digits than its factorization.

41822470480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28557 (or 28551 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 40.

The spelling of 41822470480 in words is "forty-one billion, eight hundred twenty-two million, four hundred seventy thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 71 74 80 112 140 142 148 185 259 280 284 296 355 370 497 518 560 568 592 710 740 994 1036 1136 1295 1420 1480 1988 2072 2485 2590 2627 2840 2960 3976 4144 4970 5180 5254 5680 7952 9940 10360 10508 13135 18389 19880 20720 21016 26270 28429 36778 39760 42032 52540 56858 73556 91945 105080 113716 142145 147112 183890 199003 210160 227432 284290 294224 367780 398006 454864 568580 735560 796012 995015 1051873 1137160 1471120 1592024 1990030 2018459 2103746 2274320 3184048 3980060 4036918 4207492 5259365 7363111 7960120 8073836 8414984 10092295 10518730 14129213 14726222 15920240 16147672 16829968 20184590 21037460 28258426 29452444 32295344 36815555 40369180 42074920 56516852 58904888 70646065 73631110 74682983 80738360 84149840 113033704 117809776 141292130 147262220 149365966 161476720 226067408 282584260 294524440 298731932 373414915 522780881 565168520 589048880 597463864 746829830 1045561762 1130337040 1194927728 1493659660 2091123524 2613904405 2987319320 4182247048 5227808810 5974638640 8364494096 10455617620 20911235240 41822470480