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3749219136 = 26341355633
BaseRepresentation
bin1101111101111000…
…1000101101000000
3100200021211001210000
43133132020231000
530134300003021
61420010440000
7161623560015
oct33736105500
910607731700
103749219136
111654377913
12887733000
13479997780
14277d1370c
1516e239b26
hexdf788b40

3749219136 has 140 divisors (see below), whose sum is σ = 11968987492. Its totient is φ = 1153585152.

The previous prime is 3749219119. The next prime is 3749219161. The reversal of 3749219136 is 6319129473.

3749219136 is a `hidden beast` number, since 374 + 92 + 191 + 3 + 6 = 666.

3749219136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 472801536 + 3276417600 = 21744^2 + 57240^2 .

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 3749219091 and 3749219100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39576 + ... + 95208.

Almost surely, 23749219136 is an apocalyptic number.

3749219136 is a gapful number since it is divisible by the number (36) 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 3749219136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984493746).

3749219136 is an abundant number, since it is smaller than the sum of its proper divisors (8219768356).

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

3749219136 is a wasteful number, since it uses less digits than its factorization.

3749219136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55670 (or 55651 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 3749219136 is about 61230.8675097781. The cubic root of 3749219136 is about 1553.5084087798.

The spelling of 3749219136 in words is "three billion, seven hundred forty-nine million, two hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 55633 67392 111266 166899 222532 333798 445064 500697 667596 723229 890128 1001394 1335192 1446458 1502091 1780256 2002788 2169687 2670384 2892916 3004182 3560512 4005576 4339374 4506273 5340768 5785832 6008364 6509061 8011152 8678748 9012546 10681536 11571664 12016728 13018122 16022304 17357496 18025092 19527183 23143328 24033456 26036244 32044608 34714992 36050184 39054366 46286656 48066912 52072488 58581549 69429984 72100368 78108732 96133824 104144976 117163098 138859968 144200736 156217464 208289952 234326196 288401472 312434928 416579904 468652392 624869856 937304784 1249739712 1874609568 3749219136