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4487131141504 = 271119996716561
BaseRepresentation
bin100000101001011110111…
…0110111001010110000000
3120212222001212212200000221
41001102331312321112000
51042004121033012004
613313205400552424
7642120202251544
oct101227566712600
916788055780027
104487131141504
11147aa88606220
12605777182714
13267199a9ca2b
1411726d3b3a24
157bac1e43354
hex414bddb9580

4487131141504 has 128 divisors (see below), whose sum is σ = 9811593792000. Its totient is φ = 2027134771200.

The previous prime is 4487131141477. The next prime is 4487131141511. The reversal of 4487131141504 is 4051411317844.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 270937384 + ... + 270953944.

It is an arithmetic number, because the mean of its divisors is an integer number (76653076500).

Almost surely, 24487131141504 is an apocalyptic number.

4487131141504 is a gapful number since it is divisible by the number (44) 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 4487131141504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905796896000).

4487131141504 is an abundant number, since it is smaller than the sum of its proper divisors (5324462650496).

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

4487131141504 is a wasteful number, since it uses less digits than its factorization.

4487131141504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17752 (or 17740 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 4487131141504 in words is "four trillion, four hundred eighty-seven billion, one hundred thirty-one million, one hundred forty-one thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 199 352 398 704 796 967 1408 1592 1934 2189 3184 3868 4378 6368 7736 8756 10637 12736 15472 16561 17512 21274 25472 30944 33122 35024 42548 61888 66244 70048 85096 123776 132488 140096 170192 182171 192433 264976 280192 340384 364342 384866 529952 680768 728684 769732 1059904 1361536 1457368 1539464 2116763 2119808 2914736 3078928 3295639 4233526 5829472 6157856 6591278 8467052 11658944 12315712 13182556 16014487 16934104 23317888 24631424 26365112 32028974 33868208 36252029 52730224 64057948 67736416 72504058 105460448 128115896 135472832 145008116 176159357 210920896 256231792 270945664 290016232 352318714 421841792 512463584 580032464 704637428 1024927168 1160064928 1409274856 2049854336 2320129856 2818549712 3186882913 4640259712 5637099424 6373765826 11274198848 12747531652 22548397696 25495063304 35055712043 50990126608 70111424086 101980253216 140222848172 203960506432 280445696344 407921012864 560891392688 1121782785376 2243565570752 4487131141504