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2000108007424 = 2121927499349
BaseRepresentation
bin11101000110101111101…
…110100011000000000000
321002012121222002012022001
4131012233232203000000
5230232210122214144
64130500435553344
7264334353360352
oct35065756430000
97065558065261
102000108007424
1170127191141a
1228377415b854
131167bca4c7a7
146cb3cd670d2
1537062714bd4
hex1d1afba3000

2000108007424 has 104 divisors (see below), whose sum is σ = 4212221750000. Its totient is φ = 946973638656.

The previous prime is 2000108007413. The next prime is 2000108007461. The reversal of 2000108007424 is 4247008010002.

It is a junction number, because it is equal to n+sod(n) for n = 2000108007392 and 2000108007401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213933502 + ... + 213942850.

Almost surely, 22000108007424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000108007424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106110875000).

2000108007424 is an abundant number, since it is smaller than the sum of its proper divisors (2212113742576).

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

2000108007424 is an equidigital number, since it uses as much as digits as its factorization.

2000108007424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12141 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The spelling of 2000108007424 in words is "two trillion, one hundred eight million, seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 2048 2432 2749 4096 4864 5498 9349 9728 10996 18698 19456 21992 37396 38912 43984 52231 74792 77824 87968 104462 149584 175936 177631 208924 299168 351872 355262 417848 598336 703744 710524 835696 1196672 1407488 1421048 1671392 2393344 2814976 2842096 3342784 4786688 5629952 5684192 6685568 9573376 11259904 11368384 13371136 19146752 22736768 25700401 26742272 38293504 45473536 51400802 53484544 90947072 102801604 106969088 181894144 205603208 213938176 363788288 411206416 488307619 727576576 822412832 976615238 1644825664 1953230476 3289651328 3906460952 6579302656 7812921904 13158605312 15625843808 26317210624 31251687616 52634421248 62503375232 105268842496 125006750464 250013500928 500027001856 1000054003712 2000108007424