Search a number
-
+
16557007363512 = 23371114995976931
BaseRepresentation
bin1111000011101111101010…
…0010101101110110111000
32011121211112022101122012220
43300323322202231312320
54132232222341113022
655114103441004040
73326130035336130
oct360737242556670
964554468348186
1016557007363512
11530387301a930
121a34a38323620
1393141c089535
14413513387ac0
151daa4467485c
hexf0efa8addb8

16557007363512 has 128 divisors (see below), whose sum is σ = 51640692480000. Its totient is φ = 4297651747200.

The previous prime is 16557007363499. The next prime is 16557007363517. The reversal of 16557007363512 is 21536370075561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16557007363517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218314 + ... + 5758617.

It is an arithmetic number, because the mean of its divisors is an integer number (403442910000).

Almost surely, 216557007363512 is an apocalyptic number.

16557007363512 is a gapful number since it is divisible by the number (12) 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 16557007363512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25820346240000).

16557007363512 is an abundant number, since it is smaller than the sum of its proper divisors (35083685116488).

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

16557007363512 is a wasteful number, since it uses less digits than its factorization.

16557007363512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978457 (or 5978453 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 51.

The spelling of 16557007363512 in words is "sixteen trillion, five hundred fifty-seven billion, seven million, three hundred sixty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1499 1848 2998 4497 5996 8994 10493 11992 16489 17988 20986 31479 32978 35976 41972 49467 62958 65956 83944 98934 115423 125916 131912 197868 230846 251832 346269 395736 461692 692538 923384 1385076 2770152 5976931 11953862 17930793 23907724 35861586 41838517 47815448 65746241 71723172 83677034 125515551 131492482 143446344 167354068 197238723 251031102 262984964 334708136 394477446 460223687 502062204 525969928 788954892 920447374 1004124408 1380671061 1577909784 1840894748 2761342122 3681789496 5522684244 8959419569 11045368488 17918839138 26878258707 35837678276 53756517414 62715936983 71675356552 98553615259 107513034828 125431873966 188147810949 197107230518 215026069656 250863747932 295660845777 376295621898 394214461036 501727495864 591321691554 689875306813 752591243796 788428922072 1182643383108 1379750613626 1505182487592 2069625920439 2365286766216 2759501227252 4139251840878 5519002454504 8278503681756 16557007363512