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1022268862216 = 237374919111103
BaseRepresentation
bin11101110000000111111…
…10001110111100001000
310121201122200012211120201
432320003332032330020
5113222101312042331
62101342425301544
7133566526646410
oct16700376167410
93551580184521
101022268862216
113645a6138758
121461579348b4
1375526a357a4
1437699bb3640
151b8d17a2a61
hexee03f8ef08

1022268862216 has 128 divisors (see below), whose sum is σ = 2258883624960. Its totient is φ = 424553875200.

The previous prime is 1022268862207. The next prime is 1022268862249. The reversal of 1022268862216 is 6122688622201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 926807121 + ... + 926808223.

It is an arithmetic number, because the mean of its divisors is an integer number (17647528320).

Almost surely, 21022268862216 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 1022268862216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129441812480).

1022268862216 is an abundant number, since it is smaller than the sum of its proper divisors (1236614762744).

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

1022268862216 is a wasteful number, since it uses less digits than its factorization.

1022268862216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 1022268862216 in words is "one trillion, twenty-two billion, two hundred sixty-eight million, eight hundred sixty-two thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 491 518 911 982 1036 1103 1822 1964 2072 2206 3437 3644 3928 4412 6377 6874 7288 7721 8824 12754 13748 15442 18167 25508 27496 30884 33707 36334 40811 51016 61768 67414 72668 81622 127169 134828 145336 163244 235949 254338 269656 285677 326488 447301 471898 508676 541573 571354 894602 943796 1004833 1017352 1083146 1142708 1789204 1887592 2009666 2166292 2285416 3131107 3578408 3791011 4019332 4332584 6262214 7033831 7582022 8038664 12524428 14067662 15164044 16550137 20038201 25048856 28135324 30328088 33100274 37178821 40076402 56270648 66200548 74357642 80152804 115850959 132401096 140267407 148715284 160305608 231701918 260251747 280534814 297430568 463403836 493373003 520503494 561069628 926807672 986746006 1041006988 1122139256 1973492012 2082013976 3453611021 3946984024 6907222042 13814444084 18254801111 27628888168 36509602222 73019204444 127783607777 146038408888 255567215554 511134431108 1022268862216