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2538335289040 = 245198320119969
BaseRepresentation
bin100100111100000000100…
…100101011111011010000
322222122212221200000120121
4210330000210223323100
5313042002313222130
65222032314320024
7351250212650455
oct44740044537320
98878787600517
102538335289040
11899558107341
1234bb43429014
131554968c2615
148abdb14382c
15460643b4d7a
hex24f0092bed0

2538335289040 has 80 divisors (see below), whose sum is σ = 6287088225600. Its totient is φ = 950306328576.

The previous prime is 2538335288981. The next prime is 2538335289047. The reversal of 2538335289040 is 409825338352.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538335289047) 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, 9933825 + ... + 10186144.

It is an arithmetic number, because the mean of its divisors is an integer number (78588602820).

Almost surely, 22538335289040 is an apocalyptic number.

2538335289040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2538335289040 is an abundant number, since it is smaller than the sum of its proper divisors (3748752936560).

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

2538335289040 is a wasteful number, since it uses less digits than its factorization.

2538335289040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20120084 (or 20120078 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 2538335289040 in words is "two trillion, five hundred thirty-eight billion, three hundred thirty-five million, two hundred eighty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 83 95 152 166 190 304 332 380 415 664 760 830 1328 1520 1577 1660 3154 3320 6308 6640 7885 12616 15770 25232 31540 63080 126160 20119969 40239938 80479876 100599845 160959752 201199690 321919504 382279411 402399380 764558822 804798760 1529117644 1609597520 1669957427 1911397055 3058235288 3339914854 3822794110 6116470576 6679829708 7645588220 8349787135 13359659416 15291176440 16699574270 26719318832 30582352880 31729191113 33399148540 63458382226 66798297080 126916764452 133596594160 158645955565 253833528904 317291911130 507667057808 634583822260 1269167644520 2538335289040