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12416423020650 = 23252115711439217
BaseRepresentation
bin1011010010101110110001…
…1110111100100001101010
31121221222221212110100211100
42310223230132330201222
53111412313243130100
642224005340342230
72421025352205135
oct264535436744152
947858855410740
1012416423020650
113a57859110740
121486476b44976
136c0b2c625a0c
1430cd5ad8b21c
15167ea651e400
hexb4aec7bc86a

12416423020650 has 144 divisors (see below), whose sum is σ = 36397862137728. Its totient is φ = 3009508032000.

The previous prime is 12416423020621. The next prime is 12416423020709. The reversal of 12416423020650 is 5602032461421.

12416423020650 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 642 + 3 + 0 + 2 + 0 + 6 + 5 + 0 = 666.

It is a super-3 number, since 3×124164230206503 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28049842 + ... + 28489058.

It is an arithmetic number, because the mean of its divisors is an integer number (252762931512).

Almost surely, 212416423020650 is an apocalyptic number.

12416423020650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12416423020650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18198931068864).

12416423020650 is an abundant number, since it is smaller than the sum of its proper divisors (23981439117078).

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

12416423020650 is a wasteful number, since it uses less digits than its factorization.

12416423020650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444957 (or 444949 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12416423020650 in words is "twelve trillion, four hundred sixteen billion, four hundred twenty-three million, twenty thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 5711 11422 17133 28555 34266 51399 57110 62821 85665 102798 125642 142775 171330 188463 256995 285550 314105 376926 428325 439217 513990 565389 628210 856650 878434 942315 1130778 1284975 1317651 1570525 1884630 2196085 2569950 2635302 2826945 3141050 3952953 4392170 4711575 4831387 5653890 6588255 7905906 9423150 9662774 10980425 13176510 14134725 14494161 19764765 21960850 24156935 28269450 28988322 32941275 39529530 43482483 48313870 65882550 72470805 86964966 98823825 120784675 144941610 197647650 217412415 241569350 362354025 434824830 724708050 1087062075 2174124150 2508368287 5016736574 7525104861 12541841435 15050209722 22575314583 25083682870 27592051157 37625524305 45150629166 55184102314 62709207175 75251048610 82776153471 112876572915 125418414350 137960255785 165552306942 188127621525 225753145830 248328460413 275920511570 376255243050 413880767355 496656920826 564382864575 689801278925 827761534710 1128765729150 1241642302065 1379602557850 2069403836775 2483284604130 4138807673550 6208211510325 12416423020650