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20511667484 = 22711619671129
BaseRepresentation
bin10011000110100101…
…110011010100011100
31221221111022200002022
4103012211303110130
5314001441324414
613231204115312
71324204203560
oct230645632434
957844280068
1020511667484
118776335410
123b85395b38
131c1b6b6569
14dc82376a0
15800b3b18e
hex4c697351c

20511667484 has 96 divisors (see below), whose sum is σ = 45573749760. Its totient is φ = 7845465600.

The previous prime is 20511667481. The next prime is 20511667507. The reversal of 20511667484 is 48476611502.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20511667481) 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 31 ways as a sum of consecutive naturals, for example, 18167432 + ... + 18168560.

It is an arithmetic number, because the mean of its divisors is an integer number (474726560).

Almost surely, 220511667484 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 20511667484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22786874880).

20511667484 is an abundant number, since it is smaller than the sum of its proper divisors (25062082276).

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

20511667484 is a wasteful number, since it uses less digits than its factorization.

20511667484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 20511667484 in words is "twenty billion, five hundred eleven million, six hundred sixty-seven thousand, four hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 61 77 122 154 244 308 427 671 854 967 1129 1342 1708 1934 2258 2684 3868 4516 4697 6769 7903 9394 10637 12419 13538 15806 18788 21274 24838 27076 31612 42548 49676 58987 68869 74459 86933 117974 137738 148918 173866 235948 275476 297836 347732 412909 482083 648857 757559 825818 964166 1091743 1297714 1515118 1651636 1928332 2183486 2595428 3030236 4366972 4541999 5302913 7642201 9083998 10605826 12009173 15284402 18167996 21211652 24018346 30568804 48036692 66596323 84064211 133192646 168128422 266385292 336256844 466174261 732559553 932348522 1465119106 1864697044 2930238212 5127916871 10255833742 20511667484