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2390987182752 = 253272940896743
BaseRepresentation
bin100010110010110001111…
…100010001001010100000
322110120120000012122222200
4202302301330101022200
5303133220204322002
65030223201133200
7334512614502660
oct42626174211240
98416500178880
102390987182752
11842014a28193
1232748092a200
1314461388544c
1483a1da621a0
15422dd516b1c
hex22cb1f112a0

2390987182752 has 144 divisors (see below), whose sum is σ = 8038664000640. Its totient is φ = 659582654976.

The previous prime is 2390987182751. The next prime is 2390987182819. The reversal of 2390987182752 is 2572817890932.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2390987182752.

It is not an unprimeable number, because it can be changed into a prime (2390987182751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20389908 + ... + 20506835.

It is an arithmetic number, because the mean of its divisors is an integer number (55824055560).

Almost surely, 22390987182752 is an apocalyptic number.

It is an amenable number.

2390987182752 is an abundant number, since it is smaller than the sum of its proper divisors (5647676817888).

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

2390987182752 is a wasteful number, since it uses less digits than its factorization.

2390987182752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40896795 (or 40896784 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 2390987182752 in words is "two trillion, three hundred ninety billion, nine hundred eighty-seven million, one hundred eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2784 3248 3654 4176 4872 6496 7308 8352 9744 14616 19488 29232 58464 40896743 81793486 122690229 163586972 245380458 286277201 327173944 368070687 490760916 572554402 654347888 736141374 858831603 981521832 1145108804 1186005547 1308695776 1472282748 1717663206 1963043664 2290217608 2372011094 2576494809 2944565496 3435326412 3558016641 3926087328 4580435216 4744022188 5152989618 5889130992 6870652824 7116033282 8302038829 9160870432 9488044376 10305979236 10674049923 11778261984 13741305648 14232066564 16604077658 18976088752 20611958472 21348099846 24906116487 27482611296 28464133128 33208155316 37952177504 41223916944 42696199692 49812232974 56928266256 66416310632 74718349461 82447833888 85392399384 99624465948 113856532512 132832621264 149436698922 170784798768 199248931896 265665242528 298873397844 341569597536 398497863792 597746795688 796995727584 1195493591376 2390987182752