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20971537548 = 22313241733761
BaseRepresentation
bin10011100010000000…
…000100010010001100
32000010112122111012220
4103202000010102030
5320422203200143
613344552455340
71341460061613
oct234200042214
960115574186
1020971537548
118991982615
1240933aa550
131c92a5a920
14102d34487a
1582b1c8d83
hex4e200448c

20971537548 has 96 divisors (see below), whose sum is σ = 53058194112. Its totient is φ = 6408806400.

The previous prime is 20971537547. The next prime is 20971537549. The reversal of 20971537548 is 84573517902.

It is an interprime number because it is at equal distance from previous prime (20971537547) and next prime (20971537549).

It is a self number, because there is not a number n which added to its sum of digits gives 20971537548.

It is not an unprimeable number, because it can be changed into a prime (20971537547) 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, 27557488 + ... + 27558248.

It is an arithmetic number, because the mean of its divisors is an integer number (552689522).

Almost surely, 220971537548 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 20971537548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26529097056).

20971537548 is an abundant number, since it is smaller than the sum of its proper divisors (32086656564).

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

20971537548 is a wasteful number, since it uses less digits than its factorization.

20971537548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 20971537548 in words is "twenty billion, nine hundred seventy-one million, five hundred thirty-seven thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 241 482 723 733 761 964 1446 1466 1522 2199 2283 2892 2932 3044 3133 4398 4566 6266 8796 9132 9399 9529 9893 12532 18798 19058 19786 28587 29679 37596 38116 39572 57174 59358 114348 118716 176653 183401 353306 366802 529959 550203 557813 706612 733604 1059918 1100406 1115626 1673439 2119836 2200812 2231252 2296489 2384213 3346878 4592978 4768426 6693756 6889467 7152639 7251569 9185956 9536852 13778934 14305278 14503138 21754707 27557868 28610556 29006276 43509414 87018828 134432933 268865866 403298799 537731732 806597598 1613195196 1747628129 3495256258 5242884387 6990512516 10485768774 20971537548