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45104862720 = 293510953881
BaseRepresentation
bin101010000000011101…
…011001011000000000
311022102102202102200010
4222000131121120000
51214333321101340
632415413424520
73154512002331
oct520035313000
9138372672603
1045104862720
1118146578a55
1288a963b140
13433a8680a8
14227c568288
15128ec53b80
hexa80759600

45104862720 has 160 divisors (see below), whose sum is σ = 145520195040. Its totient is φ = 11917393920.

The previous prime is 45104862653. The next prime is 45104862727. The reversal of 45104862720 is 2726840154.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45104862727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810180 + ... + 864060.

It is an arithmetic number, because the mean of its divisors is an integer number (909501219).

Almost surely, 245104862720 is an apocalyptic number.

45104862720 is a gapful number since it is divisible by the number (40) 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 45104862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72760097520).

45104862720 is an abundant number, since it is smaller than the sum of its proper divisors (100415332320).

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

45104862720 is a wasteful number, since it uses less digits than its factorization.

45104862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54016 (or 54000 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 45104862720 in words is "forty-five billion, one hundred four million, eight hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 128 160 192 218 240 256 320 327 384 436 480 512 545 640 654 768 872 960 1090 1280 1308 1536 1635 1744 1920 2180 2560 2616 3270 3488 3840 4360 5232 6540 6976 7680 8720 10464 13080 13952 17440 20928 26160 27904 34880 41856 52320 53881 55808 69760 83712 104640 107762 139520 161643 167424 209280 215524 269405 279040 323286 418560 431048 538810 646572 808215 837120 862096 1077620 1293144 1616430 1724192 2155240 2586288 3232860 3448384 4310480 5172576 5873029 6465720 6896768 8620960 10345152 11746058 12931440 13793536 17241920 17619087 20690304 23492116 25862880 27587072 29365145 34483840 35238174 41380608 46984232 51725760 58730290 68967680 70476348 82761216 88095435 93968464 103451520 117460580 137935360 140952696 176190870 187936928 206903040 234921160 281905392 352381740 375873856 413806080 469842320 563810784 704763480 751747712 939684640 1127621568 1409526960 1503495424 1879369280 2255243136 2819053920 3006990848 3758738560 4510486272 5638107840 7517477120 9020972544 11276215680 15034954240 22552431360 45104862720