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5023523453440 = 29560716571951
BaseRepresentation
bin100100100011010000101…
…0101001011101000000000
3122210020120222122101010111
41021012201111023220000
51124301134001002230
614403435205441104
71025636410550062
oct111064125135000
918706528571114
105023523453440
111667512032278
12691713a10194
132a594072a79b
141351d59b3732
158aa1797d92a
hex491a154ba00

5023523453440 has 160 divisors (see below), whose sum is σ = 12077993816064. Its totient is φ = 2003860684800.

The previous prime is 5023523453411. The next prime is 5023523453449. The reversal of 5023523453440 is 443543253205.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5023523453393 and 5023523453402.

It is not an unprimeable number, because it can be changed into a prime (5023523453449) 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, 2574844465 + ... + 2574846415.

Almost surely, 25023523453440 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 5023523453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038996908032).

5023523453440 is an abundant number, since it is smaller than the sum of its proper divisors (7054470362624).

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

5023523453440 is a wasteful number, since it uses less digits than its factorization.

5023523453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 40.

The spelling of 5023523453440 in words is "five trillion, twenty-three billion, five hundred twenty-three million, four hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 607 640 1214 1280 1657 1951 2428 2560 3035 3314 3902 4856 6070 6628 7804 8285 9712 9755 12140 13256 15608 16570 19424 19510 24280 26512 31216 33140 38848 39020 48560 53024 62432 66280 77696 78040 97120 106048 124864 132560 155392 156080 194240 212096 249728 265120 310784 312160 388480 424192 499456 530240 624320 776960 848384 998912 1005799 1060480 1184257 1248640 1553920 2011598 2120960 2368514 2497280 3232807 4023196 4241920 4737028 4994560 5028995 5921285 6465614 8046392 9474056 10057990 11842570 12931228 16092784 16164035 18948112 20115980 23685140 25862456 32185568 32328070 37896224 40231960 47370280 51724912 64371136 64656140 75792448 80463920 94740560 103449824 128742272 129312280 151584896 160927840 189481120 206899648 257484544 258624560 303169792 321855680 378962240 413799296 514969088 517249120 606339584 643711360 757924480 827598592 1034498240 1287422720 1515848960 1655197184 1962313849 2068996480 2574845440 3031697920 3924627698 4137992960 7849255396 8275985920 9811569245 15698510792 19623138490 31397021584 39246276980 62794043168 78492553960 125588086336 156985107920 251176172672 313970215840 502352345344 627940431680 1004704690688 1255880863360 2511761726720 5023523453440