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2145744589632 = 263710315500351
BaseRepresentation
bin11111001110011000010…
…110000001001101000000
321121010112122000010020020
4133032120112001031000
5240123441103332012
64321424053213440
7311011360035060
oct37163026011500
97533478003206
102145744589632
11758006977166
122a7a39631280
1312745c306c17
1475bd70033a0
153ac381d4a8c
hex1f398581340

2145744589632 has 112 divisors (see below), whose sum is σ = 6551316774912. Its totient is φ = 607117708800.

The previous prime is 2145744589627. The next prime is 2145744589669. The reversal of 2145744589632 is 2369854475412.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7611744 + ... + 7888607.

It is an arithmetic number, because the mean of its divisors is an integer number (58493899776).

Almost surely, 22145744589632 is an apocalyptic number.

It is an amenable number.

2145744589632 is an abundant number, since it is smaller than the sum of its proper divisors (4405572185280).

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

2145744589632 is a wasteful number, since it uses less digits than its factorization.

2145744589632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15500476 (or 15500466 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 60.

The spelling of 2145744589632 in words is "two trillion, one hundred forty-five billion, seven hundred forty-four million, five hundred eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 168 192 206 224 309 336 412 448 618 672 721 824 1236 1344 1442 1648 2163 2472 2884 3296 4326 4944 5768 6592 8652 9888 11536 17304 19776 23072 34608 46144 69216 138432 15500351 31000702 46501053 62001404 93002106 108502457 124002808 186004212 217004914 248005616 325507371 372008424 434009828 496011232 651014742 744016848 868019656 992022464 1302029484 1488033696 1596536153 1736039312 2604058968 2976067392 3193072306 3472078624 4789608459 5208117936 6386144612 6944157248 9579216918 10416235872 11175753071 12772289224 19158433836 20832471744 22351506142 25544578448 33527259213 38316867672 44703012284 51089156896 67054518426 76633735344 89406024568 102178313792 134109036852 153267470688 178812049136 268218073704 306534941376 357624098272 536436147408 715248196544 1072872294816 2145744589632