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1604531664420 = 2235374191724969
BaseRepresentation
bin10111010110010101100…
…010100011011000100100
312200101120120101212220020
4113112111202203120210
5202242040101230140
63225040042035140
7223631535054456
oct27262542433044
95611516355806
101604531664420
11569529326aa3
1221ab764a8ab0
13b83caa38289
14579344ba2d6
152bb0e3796d0
hex175958a3624

1604531664420 has 96 divisors (see below), whose sum is σ = 4625127561600. Its totient is φ = 415317095424.

The previous prime is 1604531664403. The next prime is 1604531664433. The reversal of 1604531664420 is 244661354061.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67696 + ... + 1792664.

It is an arithmetic number, because the mean of its divisors is an integer number (48178412100).

Almost surely, 21604531664420 is an apocalyptic number.

1604531664420 is a gapful number since it is divisible by the number (10) 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 1604531664420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312563780800).

1604531664420 is an abundant number, since it is smaller than the sum of its proper divisors (3020595897180).

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

1604531664420 is a wasteful number, since it uses less digits than its factorization.

1604531664420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725437 (or 1725435 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 1604531664420 in words is "one trillion, six hundred four billion, five hundred thirty-one million, six hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 419 444 555 740 838 1110 1257 1676 2095 2220 2514 4190 5028 6285 8380 12570 15503 25140 31006 46509 62012 77515 93018 155030 186036 232545 310060 465090 930180 1724969 3449938 5174907 6899876 8624845 10349814 17249690 20699628 25874535 34499380 51749070 63823853 103498140 127647706 191471559 255295412 319119265 382943118 638238530 722762011 765886236 957357795 1276477060 1445524022 1914715590 2168286033 2891048044 3613810055 3829431180 4336572066 7227620110 8673144132 10841430165 14455240220 21682860330 26742194407 43365720660 53484388814 80226583221 106968777628 133710972035 160453166442 267421944070 320906332884 401132916105 534843888140 802265832210 1604531664420