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18987520000 = 212547417
BaseRepresentation
bin10001101011101111…
…101001000000000000
31211000021100221210111
4101223233221000000
5302341301120000
612420040241104
71241346154111
oct215357510000
954007327714
1018987520000
118063a61899
12381aa70194
131a379bb147
14cc1a4a208
15761e21cba
hex46bbe9000

18987520000 has 130 divisors (see below), whose sum is σ = 47454214478. Its totient is φ = 7593984000.

The previous prime is 18987519977. The next prime is 18987520033. The reversal of 18987520000 is 2578981.

It can be written as a sum of positive squares in 5 ways, for example, as 4464377856 + 14523142144 = 66816^2 + 120512^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2556292 + ... + 2563708.

Almost surely, 218987520000 is an apocalyptic number.

18987520000 is a gapful number since it is divisible by the number (10) 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 18987520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23727107239).

18987520000 is an abundant number, since it is smaller than the sum of its proper divisors (28466694478).

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

18987520000 is an frugal number, since it uses more digits than its factorization.

18987520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7461 (or 7424 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The spelling of 18987520000 in words is "eighteen billion, nine hundred eighty-seven million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3200 4000 4096 5000 5120 6400 7417 8000 10000 10240 12800 14834 16000 20000 20480 25600 29668 32000 37085 40000 51200 59336 64000 74170 80000 102400 118672 128000 148340 160000 185425 237344 256000 296680 320000 370850 474688 512000 593360 640000 741700 927125 949376 1186720 1280000 1483400 1854250 1898752 2373440 2560000 2966800 3708500 3797504 4635625 4746880 5933600 7417000 7595008 9271250 9493760 11867200 14834000 15190016 18542500 18987520 23734400 29668000 30380032 37085000 37975040 47468800 59336000 74170000 75950080 94937600 118672000 148340000 151900160 189875200 237344000 296680000 379750400 474688000 593360000 759500800 949376000 1186720000 1898752000 2373440000 3797504000 4746880000 9493760000 18987520000