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4500012880 = 24511172331291
BaseRepresentation
bin1000011000011100…
…01011111101010000
3102121121120100011201
410030032023331100
533204000403010
62022310520544
7216341323036
oct41416137520
912547510151
104500012880
1119aa15a310
12a57066154
135693ac61c
14309910556
151b50e223a
hex10c38bf50

4500012880 has 160 divisors (see below), whose sum is σ = 12146329728. Its totient is φ = 1532313600.

The previous prime is 4500012871. The next prime is 4500012887. The reversal of 4500012880 is 882100054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4500012887) 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, 3485035 + ... + 3486325.

Almost surely, 24500012880 is an apocalyptic number.

4500012880 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 4500012880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073164864).

4500012880 is an abundant number, since it is smaller than the sum of its proper divisors (7646316848).

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

4500012880 is a wasteful number, since it uses less digits than its factorization.

4500012880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 4500012880 is about 67082.1353267768. The cubic root of 4500012880 is about 1650.9651995874.

The spelling of 4500012880 in words is "four billion, five hundred million, twelve thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 233 272 340 374 440 466 680 748 880 932 935 1165 1291 1360 1496 1864 1870 2330 2563 2582 2992 3728 3740 3961 4660 5126 5164 6455 7480 7922 9320 10252 10328 12815 12910 14201 14960 15844 18640 19805 20504 20656 21947 25630 25820 28402 31688 39610 41008 43571 43894 51260 51640 56804 63376 71005 79220 87142 87788 102520 103280 109735 113608 142010 158440 174284 175576 205040 217855 219470 227216 241417 284020 300803 316880 348568 351152 435710 438940 482834 568040 601606 697136 871420 877880 965668 1136080 1203212 1207085 1504015 1742840 1755760 1931336 2406424 2414170 3008030 3308833 3485680 3862672 4812848 4828340 5113651 6016060 6617666 9656680 10227302 12032120 13235332 16544165 19313360 20454604 24064240 25568255 26470664 33088330 40909208 51136510 52941328 56250161 66176660 81818416 102273020 112500322 132353320 204546040 225000644 264706640 281250805 409092080 450001288 562501610 900002576 1125003220 2250006440 4500012880