Search a number
-
+
13607991802368 = 29331588761961
BaseRepresentation
bin1100011000000101101110…
…0001000111101000000000
31210011220121100100012122000
43012001123201013220000
53240423131400133433
644535231454544000
72603100502554645
oct306013341075000
953156540305560
1013607991802368
114377131681737
1216393a0b08000
137792c7248662
143508b783bdcc
15188e95e31113
hexc605b847a00

13607991802368 has 160 divisors (see below), whose sum is σ = 40283786315520. Its totient is φ = 4535638548480.

The previous prime is 13607991802337. The next prime is 13607991802373. The reversal of 13607991802368 is 86320819970631.

13607991802368 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 7 + 99 + 180 + 2 + 368 = 666.

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, 219590908 + ... + 219652868.

It is an arithmetic number, because the mean of its divisors is an integer number (251773664472).

Almost surely, 213607991802368 is an apocalyptic number.

13607991802368 is a gapful number since it is divisible by the number (18) 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 13607991802368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20141893157760).

13607991802368 is an abundant number, since it is smaller than the sum of its proper divisors (26675794513152).

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

13607991802368 is an equidigital number, since it uses as much as digits as its factorization.

13607991802368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77875 (or 77853 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 13607991802368 in words is "thirteen trillion, six hundred seven billion, nine hundred ninety-one million, eight hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 15887 31774 47661 61961 63548 95322 123922 127096 142983 185883 190644 247844 254192 285966 371766 381288 428949 495688 508384 557649 571932 743532 762576 857898 991376 1016768 1115298 1143864 1487064 1525152 1672947 1715796 1982752 2033536 2230596 2287728 2974128 3050304 3345894 3431592 3965504 4067072 4461192 4575456 5948256 6100608 6691788 6863184 7931008 8134144 8922384 9150912 11896512 12201216 13383576 13726368 15862016 17844768 18301824 23793024 24402432 26767152 27452736 31724032 35689536 36603648 47586048 53534304 54905472 71379072 73207296 95172096 107068608 109810944 142758144 214137216 219621888 285516288 428274432 856548864 984374407 1968748814 2953123221 3937497628 5906246442 7874995256 8859369663 11812492884 15749990512 17718739326 23624985768 26578108989 31499981024 35437478652 47249971536 53156217978 62999962048 70874957304 94499943072 106312435956 125999924096 141749914608 188999886144 212624871912 251999848192 283499829216 377999772288 425249743824 503999696384 566999658432 755999544576 850499487648 1133999316864 1511999089152 1700998975296 2267998633728 3401997950592 4535997267456 6803995901184 13607991802368