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2652116546112 = 2631110611183541
BaseRepresentation
bin100110100101111110011…
…101101111001001000000
3100101112120120011202111220
4212211332131233021000
5321423013313433422
65350210541435040
7362415630455145
oct46457635571100
910345516152456
102652116546112
119328357168a0
12369bb856ba80
1316312a5c3737
14925125ba3cc
1548ec3424e5c
hex2697e76f240

2652116546112 has 112 divisors (see below), whose sum is σ = 7662194097984. Its totient is φ = 802913536000.

The previous prime is 2652116545961. The next prime is 2652116546153. The reversal of 2652116546112 is 2116456112562.

It is a happy number.

It is a super-2 number, since 2×26521165461122 (a number of 26 digits) contains 22 as substring.

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, 1649062 + ... + 2832602.

Almost surely, 22652116546112 is an apocalyptic number.

2652116546112 is a gapful number since it is divisible by the number (22) 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 2652116546112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831097048992).

2652116546112 is an abundant number, since it is smaller than the sum of its proper divisors (5010077551872).

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

2652116546112 is a wasteful number, since it uses less digits than its factorization.

2652116546112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184628 (or 1184618 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The spelling of 2652116546112 in words is "two trillion, six hundred fifty-two billion, one hundred sixteen million, five hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1061 2112 2122 3183 4244 6366 8488 11671 12732 16976 23342 25464 33952 35013 46684 50928 67904 70026 93368 101856 140052 186736 203712 280104 373472 560208 746944 1120416 1183541 2240832 2367082 3550623 4734164 7101246 9468328 13018951 14202492 18936656 26037902 28404984 37873312 39056853 52075804 56809968 75746624 78113706 104151608 113619936 156227412 208303216 227239872 312454824 416606432 624909648 833212864 1249819296 1255737001 2499638592 2511474002 3767211003 5022948004 7534422006 10045896008 13813107011 15068844012 20091792016 27626214022 30137688024 40183584032 41439321033 55252428044 60275376048 80367168064 82878642066 110504856088 120550752096 165757284132 221009712176 241101504192 331514568264 442019424352 663029136528 884038848704 1326058273056 2652116546112