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1022233945408 = 26132939114603
BaseRepresentation
bin11101110000000011110…
…01000010010101000000
310121201120020111212201121
432320001321002111000
5113222013342223113
62101335141042024
7133565624112214
oct16700171022500
93551506455647
101022233945408
1136458845a195
121461480b6314
137551c72b860
14376952c4944
151b8cd6a6e8d
hexee01e42540

1022233945408 has 112 divisors (see below), whose sum is σ = 2194872212736. Its totient is φ = 469571880960.

The previous prime is 1022233945361. The next prime is 1022233945417. The reversal of 1022233945408 is 8045493322201.

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, 222077635 + ... + 222082237.

It is an arithmetic number, because the mean of its divisors is an integer number (19597073328).

Almost surely, 21022233945408 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 1022233945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097436106368).

1022233945408 is an abundant number, since it is smaller than the sum of its proper divisors (1172638267328).

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

1022233945408 is a wasteful number, since it uses less digits than its factorization.

1022233945408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5832 (or 5822 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 1022233945408 in words is "one trillion, twenty-two billion, two hundred thirty-three million, nine hundred forty-five thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 293 416 586 832 911 1172 1822 2344 3644 3809 4603 4688 7288 7618 9206 9376 11843 14576 15236 18412 18752 23686 29152 30472 36824 47372 58304 59839 60944 73648 94744 119678 121888 147296 189488 239356 243776 266923 294592 378976 478712 533846 757952 957424 1067692 1348679 1914848 2135384 2697358 3469999 3829696 4193333 4270768 5394716 6939998 8386666 8541536 10789432 13879996 16773332 17083072 17532827 21578864 27759992 33546664 35065654 43157728 54513329 55519984 67093328 70131308 86315456 109026658 111039968 134186656 140262616 218053316 222079936 268373312 280525232 436106632 561050464 872213264 1122100928 1228646569 1744426528 2457293138 3488853056 4914586276 9829172552 15972405397 19658345104 31944810794 39316690208 63889621588 78633380416 127779243176 255558486352 511116972704 1022233945408