Search a number
-
+
4642573658240 = 27571036288763
BaseRepresentation
bin100001110001110111011…
…1101000010100010000000
3121102211021221101200022102
41003203232331002202000
51102030442324030430
613512434025325532
7656262205661540
oct103435675024200
917384257350272
104642573658240
11152a9a4886791
1262b9186368a8
13278a3ca8759b
141209b78d7320
1580b6d73a345
hex438eef42880

4642573658240 has 64 divisors (see below), whose sum is σ = 12684174471360. Its totient is φ = 1591739538432.

The previous prime is 4642573658221. The next prime is 4642573658243. The reversal of 4642573658240 is 428563752464.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (4642573658243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 518139902 + ... + 518148861.

It is an arithmetic number, because the mean of its divisors is an integer number (198190226115).

Almost surely, 24642573658240 is an apocalyptic number.

4642573658240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4642573658240 is an abundant number, since it is smaller than the sum of its proper divisors (8041600813120).

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

4642573658240 is a wasteful number, since it uses less digits than its factorization.

4642573658240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036288789 (or 1036288777 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 56.

The spelling of 4642573658240 in words is "four trillion, six hundred forty-two billion, five hundred seventy-three million, six hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 1036288763 2072577526 4145155052 5181443815 7254021341 8290310104 10362887630 14508042682 16580620208 20725775260 29016085364 33161240416 36270106705 41451550520 58032170728 66322480832 72540213410 82903101040 116064341456 132644961664 145080426820 165806202080 232128682912 290160853640 331612404160 464257365824 580321707280 663224808320 928514731648 1160643414560 2321286829120 4642573658240