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40995996160 = 29572978887
BaseRepresentation
bin100110001011100011…
…010100001000000000
310220211002012101101011
4212023203110020000
51132424433334120
630455554250304
72650630134460
oct461343241000
9126732171334
1040995996160
1116428197769
127b41586994
133b3451a1c2
141dac995ba0
1510ee176c5a
hex98b8d4200

40995996160 has 160 divisors (see below), whose sum is σ = 116211490560. Its totient is φ = 13570916352.

The previous prime is 40995996149. The next prime is 40995996193. The reversal of 40995996160 is 6169959904.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 40995996095 and 40995996104.

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, 480237 + ... + 559123.

It is an arithmetic number, because the mean of its divisors is an integer number (726321816).

Almost surely, 240995996160 is an apocalyptic number.

40995996160 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 40995996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58105745280).

40995996160 is an abundant number, since it is smaller than the sum of its proper divisors (75215494400).

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

40995996160 is an equidigital number, since it uses as much as digits as its factorization.

40995996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78946 (or 78930 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 58.

The spelling of 40995996160 in words is "forty billion, nine hundred ninety-five million, nine hundred ninety-six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 128 140 145 160 203 224 232 256 280 290 320 406 448 464 512 560 580 640 812 896 928 1015 1120 1160 1280 1624 1792 1856 2030 2240 2320 2560 3248 3584 3712 4060 4480 4640 6496 7424 8120 8960 9280 12992 14848 16240 17920 18560 25984 32480 37120 51968 64960 74240 78887 103936 129920 157774 259840 315548 394435 519680 552209 631096 788870 1104418 1262192 1577740 2208836 2287723 2524384 2761045 3155480 4417672 4575446 5048768 5522090 6310960 8835344 9150892 10097536 11044180 11438615 12621920 16014061 17670688 18301784 20195072 22088360 22877230 25243840 32028122 35341376 36603568 40390144 44176720 45754460 50487680 64056244 70682752 73207136 80070305 88353440 91508920 100975360 128112488 141365504 146414272 160140610 176706880 183017840 201950720 256224976 282731008 292828544 320281220 353413760 366035680 512449952 585657088 640562440 706827520 732071360 1024899904 1171314176 1281124880 1413655040 1464142720 2049799808 2562249760 2928285440 4099599616 5124499520 5856570880 8199199232 10248999040 20497998080 40995996160