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6440498136 = 23339723169
BaseRepresentation
bin1011111111110001…
…00011001111011000
3121121211221012112000
411333320203033120
5101142231420021
62543030121000
7315413221332
oct57770431730
917554835460
106440498136
112805547636
1212b8ab0160
137b8419857
14451516452
1527a64ab26
hex17fe233d8

6440498136 has 96 divisors (see below), whose sum is σ = 18082314000. Its totient is φ = 2124029952.

The previous prime is 6440498101. The next prime is 6440498143. The reversal of 6440498136 is 6318940446.

It is a junction number, because it is equal to n+sod(n) for n = 6440498091 and 6440498100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2030760 + ... + 2033928.

Almost surely, 26440498136 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 6440498136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9041157000).

6440498136 is an abundant number, since it is smaller than the sum of its proper divisors (11641815864).

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

6440498136 is a wasteful number, since it uses less digits than its factorization.

6440498136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6440498136 is about 80252.7141970912. The cubic root of 6440498136 is about 1860.5434624213.

The spelling of 6440498136 in words is "six billion, four hundred forty million, four hundred ninety-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 582 776 873 1164 1746 2328 2619 3169 3492 5238 6338 6984 9409 9507 10476 12676 18818 19014 20952 25352 28227 28521 37636 38028 56454 57042 75272 76056 84681 85563 112908 114084 169362 171126 225816 228168 254043 307393 338724 342252 508086 614786 677448 684504 922179 1016172 1229572 1844358 2032344 2459144 2766537 3688716 5533074 7377432 8299611 11066148 16599222 22132296 29817121 33198444 59634242 66396888 89451363 119268484 178902726 238536968 268354089 357805452 536708178 715610904 805062267 1073416356 1610124534 2146832712 3220249068 6440498136