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20352535771440 = 2435428919772029
BaseRepresentation
bin1001010000010101100011…
…01010100011100100110000
32200001200110012201020111110
410220022301222203210300
510131423443124141230
6111141454215113320
74200264544442535
oct450126152434460
980050405636443
1020352535771440
116537509942a64
12234855b072840
13b4830b327722
145050d47b2d8c
1525463982e4b0
hex1282b1aa3930

20352535771440 has 80 divisors (see below), whose sum is σ = 63107574472800. Its totient is φ = 5426077188096.

The previous prime is 20352535771429. The next prime is 20352535771457. The reversal of 20352535771440 is 4417753525302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20352535771440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8856655 + ... + 10915374.

It is an arithmetic number, because the mean of its divisors is an integer number (788844680910).

Almost surely, 220352535771440 is an apocalyptic number.

20352535771440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20352535771440 is an abundant number, since it is smaller than the sum of its proper divisors (42755038701360).

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

20352535771440 is a wasteful number, since it uses less digits than its factorization.

20352535771440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19776334 (or 19776328 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 48.

The spelling of 20352535771440 in words is "twenty trillion, three hundred fifty-two billion, five hundred thirty-five million, seven hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4289 8578 12867 17156 21445 25734 34312 42890 51468 64335 68624 85780 102936 128670 171560 205872 257340 343120 514680 1029360 19772029 39544058 59316087 79088116 98860145 118632174 158176232 197720290 237264348 296580435 316352464 395440580 474528696 593160870 790881160 949057392 1186321740 1581762320 2372643480 4745286960 84802232381 169604464762 254406697143 339208929524 424011161905 508813394286 678417859048 848022323810 1017626788572 1272033485715 1356835718096 1696044647620 2035253577144 2544066971430 3392089295240 4070507154288 5088133942860 6784178590480 10176267885720 20352535771440