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1422522113792 = 28133741281767
BaseRepresentation
bin10100101100110100111…
…011001101111100000000
312000222210000022201102112
4110230310323031330000
5141301311130120132
63005255253434452
7204526265314253
oct24546473157400
95028700281375
101422522113792
114a931971477a
121ab83b93ba28
13a41b2984520
144cbc985b09a
152700a523ab2
hex14b34ecdf00

1422522113792 has 144 divisors (see below), whose sum is σ = 3217166162112. Its totient is φ = 623221309440.

The previous prime is 1422522113777. The next prime is 1422522113797. The reversal of 1422522113792 is 2973112252241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422522113797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4907693 + ... + 5189459.

Almost surely, 21422522113792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1422522113792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608583081056).

1422522113792 is an abundant number, since it is smaller than the sum of its proper divisors (1794644048320).

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

1422522113792 is a wasteful number, since it uses less digits than its factorization.

1422522113792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281874 (or 281860 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The spelling of 1422522113792 in words is "one trillion, four hundred twenty-two billion, five hundred twenty-two million, one hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 37 41 52 64 74 82 104 128 148 164 208 256 296 328 416 481 533 592 656 832 962 1066 1184 1312 1517 1664 1924 2132 2368 2624 3034 3328 3848 4264 4736 5248 6068 7696 8528 9472 10496 12136 15392 17056 19721 24272 30784 34112 39442 48544 61568 68224 78884 97088 123136 136448 157768 194176 281767 315536 388352 563534 631072 1127068 1262144 2254136 2524288 3662971 4508272 5048576 7325942 9016544 10425379 11552447 14651884 18033088 20850758 23104894 29303768 36066176 41701516 46209788 58607536 72132352 83403032 92419576 117215072 135529927 150181811 166806064 184839152 234430144 271059854 300363622 333612128 369678304 427440539 468860288 542119708 600727244 667224256 739356608 854881078 937720576 1084239416 1201454488 1334448512 1478713216 1709762156 2168478832 2402908976 2668897024 2957426432 3419524312 4336957664 4805817952 5556727007 6839048624 8673915328 9611635904 11113454014 13678097248 17347830656 19223271808 22226908028 27356194496 34695661312 38446543616 44453816056 54712388992 88907632112 109424777984 177815264224 355630528448 711261056896 1422522113792