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12067125508416 = 2631119300715847
BaseRepresentation
bin1010111110011001100010…
…1110101011100101000000
31120201121100201120020111210
42233212120232223211000
53040201433112232131
641355321054410120
72353551422302146
oct257463056534500
946647321506453
1012067125508416
11393270383a8a0
12142a833b00940
13696c04457c34
142da0a293d596
1515dd60ed0146
hexaf998bab940

12067125508416 has 112 divisors (see below), whose sum is σ = 36663276188160. Its totient is φ = 3464246545920.

The previous prime is 12067125508303. The next prime is 12067125508433. The reversal of 12067125508416 is 61480552176021.

It is a happy number.

12067125508416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 150317796 + ... + 150398051.

Almost surely, 212067125508416 is an apocalyptic number.

12067125508416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12067125508416 is an abundant number, since it is smaller than the sum of its proper divisors (24596150679744).

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

12067125508416 is a wasteful number, since it uses less digits than its factorization.

12067125508416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300715892 (or 300715882 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 12067125508416 in words is "twelve trillion, sixty-seven billion, one hundred twenty-five million, five hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 132 152 176 192 209 228 264 304 352 418 456 528 608 627 704 836 912 1056 1216 1254 1672 1824 2112 2508 3344 3648 5016 6688 10032 13376 20064 40128 300715847 601431694 902147541 1202863388 1804295082 2405726776 3307874317 3608590164 4811453552 5713601093 6615748634 7217180328 9622907104 9923622951 11427202186 13231497268 14434360656 17140803279 19245814208 19847245902 22854404372 26462994536 28868721312 34281606558 39694491804 45708808744 52925989072 57737442624 62849612023 68563213116 79388983608 91417617488 105851978144 125699224046 137126426232 158777967216 182835234976 188548836069 211703956288 251398448092 274252852464 317555934432 365670469952 377097672138 502796896184 548505704928 635111868864 754195344276 1005593792368 1097011409856 1508390688552 2011187584736 3016781377104 4022375169472 6033562754208 12067125508416