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2145464454536 = 2313213179715199
BaseRepresentation
bin11111001110000111101…
…001011000110110001000
321121002211002212210010022
4133032013221120312020
5240122402400021121
64321340205040012
7311001415652504
oct37160751306610
97532732783108
102145464454536
11757982830557
122a797b856008
13127416272c00
1475babb21304
153ac1d7ebaab
hex1f387a58d88

2145464454536 has 96 divisors (see below), whose sum is σ = 4395039264000. Its totient is φ = 981357960960.

The previous prime is 2145464454517. The next prime is 2145464454619. The reversal of 2145464454536 is 6354544645412.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141150665 + ... + 141165863.

It is an arithmetic number, because the mean of its divisors is an integer number (45781659000).

Almost surely, 22145464454536 is an apocalyptic number.

2145464454536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145464454536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197519632000).

2145464454536 is an abundant number, since it is smaller than the sum of its proper divisors (2249574809464).

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

2145464454536 is a wasteful number, since it uses less digits than its factorization.

2145464454536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16159 (or 16142 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 53.

The spelling of 2145464454536 in words is "two trillion, one hundred forty-five billion, four hundred sixty-four million, four hundred fifty-four thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 131 169 262 338 524 676 797 1048 1352 1594 1703 3188 3406 6376 6812 10361 13624 15199 20722 22139 30398 41444 44278 60796 82888 88556 104407 121592 134693 177112 197587 208814 269386 395174 417628 538772 790348 835256 1077544 1357291 1580696 1991069 2568631 2714582 3982138 5137262 5429164 7964276 10274524 10858328 12113603 15928552 17644783 20549048 24227206 25883897 35289566 48454412 51767794 70579132 96908824 103535588 141158264 157476839 207071176 314953678 336490661 629907356 672981322 1259814712 1345962644 1586881993 2047198907 2691925288 3173763986 4094397814 6347527972 8188795628 12695055944 16377591256 20629465909 41258931818 82517863636 165035727272 268183056817 536366113634 1072732227268 2145464454536