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4053732373504 = 21011371996769
BaseRepresentation
bin111010111111010101010…
…001110011010000000000
3112100112101120122002110201
4322333111101303100000
51012404020441423004
612342131533134544
7565605160435222
oct72772521632000
915315346562421
104053732373504
1113231a6276120
1255578292a454
1323535abb5498
141002b763a412
15706a835d6a4
hex3afd5473400

4053732373504 has 88 divisors (see below), whose sum is σ = 8842656801600. Its totient is φ = 1842091130880.

The previous prime is 4053732373489. The next prime is 4053732373541.

4053732373504 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×40537323735042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 41842432 + ... + 41939200.

Almost surely, 24053732373504 is an apocalyptic number.

4053732373504 is a gapful number since it is divisible by the number (44) 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 4053732373504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421328400800).

4053732373504 is an abundant number, since it is smaller than the sum of its proper divisors (4788924428096).

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

4053732373504 is a wasteful number, since it uses less digits than its factorization.

4053732373504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100519 (or 100501 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 46.

The spelling of 4053732373504 in words is "four trillion, fifty-three billion, seven hundred thirty-two million, three hundred seventy-three thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 3719 5632 7438 11264 14876 29752 40909 59504 81818 96769 119008 163636 193538 238016 327272 387076 476032 654544 774152 952064 1064459 1309088 1548304 1904128 2128918 2618176 3096608 3808256 4257836 5236352 6193216 8515672 10472704 12386432 17031344 20945408 24772864 34062688 41890816 49545728 68125376 99091456 136250752 272501504 359883911 545003008 719767822 1090006016 1439535644 2879071288 3958723021 5758142576 7917446042 11516285152 15834892084 23032570304 31669784168 46065140608 63339568336 92130281216 126679136672 184260562432 253358273344 368521124864 506716546688 1013433093376 2026866186752 4053732373504