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13040335788348 = 22311167971609227
BaseRepresentation
bin1011110111000011000010…
…0101010001100100111100
31201011122101102101212210110
42331300300211101210330
53202123101430211343
643422351512310020
72514063451216101
oct275606045214474
951148342355713
1013040335788348
114178414656570
12156737a0a2310
137379104892bb
14331227040aa8
1517932089b833
hexbdc3095193c

13040335788348 has 96 divisors (see below), whose sum is σ = 33426790483968. Its totient is φ = 3923902820800.

The previous prime is 13040335788331. The next prime is 13040335788377. The reversal of 13040335788348 is 84388753304031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21100111 + ... + 21709337.

It is an arithmetic number, because the mean of its divisors is an integer number (348195734208).

Almost surely, 213040335788348 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 13040335788348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713395241984).

13040335788348 is an abundant number, since it is smaller than the sum of its proper divisors (20386454695620).

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

13040335788348 is a wasteful number, since it uses less digits than its factorization.

13040335788348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610383 (or 610381 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 13040335788348 in words is "thirteen trillion, forty billion, three hundred thirty-five million, seven hundred eighty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 167 334 501 668 971 1002 1837 1942 2004 2913 3674 3884 5511 5826 7348 10681 11022 11652 21362 22044 32043 42724 64086 128172 162157 324314 486471 609227 648628 972942 1218454 1783727 1827681 1945884 2436908 3567454 3655362 5351181 6701497 7134908 7310724 10702362 13402994 20104491 21404724 26805988 40208982 80417964 101740909 203481818 305222727 406963636 591559417 610445454 1119149999 1183118834 1220890908 1774678251 2238299998 2366237668 3357449997 3549356502 4476599996 6507153587 6714899994 7098713004 13014307174 13429799988 19521460761 26028614348 39042921522 78085843044 98790422639 197580845278 296371267917 395161690556 592742535834 1086694649029 1185485071668 2173389298058 3260083947087 4346778596116 6520167894174 13040335788348