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2152773460344 = 23313181102137337
BaseRepresentation
bin11111010100111011010…
…011000010000101111000
321121210200111001202012010
4133110323103002011320
5240232340001212334
64324545342245520
7311350506330363
oct37247323020570
97553614052163
102152773460344
1175aa9354a821
122a927b5868a0
1312800c5aab10
14762a27170da
153aeea3030e9
hex1f53b4c2178

2152773460344 has 128 divisors (see below), whose sum is σ = 5833814575680. Its totient is φ = 658069401600.

The previous prime is 2152773460171. The next prime is 2152773460351. The reversal of 2152773460344 is 4430643772512.

It is a super-2 number, since 2×21527734603442 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2152773460293 and 2152773460302.

It is a congruent number.

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, 57639244 + ... + 57676580.

Almost surely, 22152773460344 is an apocalyptic number.

2152773460344 is a gapful number since it is divisible by the number (24) 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 2152773460344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916907287840).

2152773460344 is an abundant number, since it is smaller than the sum of its proper divisors (3681041115336).

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

2152773460344 is a wasteful number, since it uses less digits than its factorization.

2152773460344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38561 (or 38557 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 48.

The spelling of 2152773460344 in words is "two trillion, one hundred fifty-two billion, seven hundred seventy-three million, four hundred sixty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 181 312 362 543 724 1021 1086 1448 2042 2172 2353 3063 4084 4344 4706 6126 7059 8168 9412 12252 13273 14118 18824 24504 26546 28236 37337 39819 53092 56472 74674 79638 106184 112011 149348 159276 184801 224022 298696 318552 369602 448044 485381 554403 739204 896088 970762 1108806 1456143 1478408 1941524 2217612 2402413 2912286 3883048 4435224 4804826 5824572 6757997 7207239 9609652 11649144 13515994 14414478 19219304 20273991 27031988 28828956 38121077 40547982 54063976 57657912 76242154 81095964 87853961 114363231 152484308 162191928 175707922 228726462 263561883 304968616 351415844 457452924 495574001 527123766 702831688 914905848 991148002 1054247532 1486722003 1982296004 2108495064 2973444006 3964592008 5946888012 6899914937 11893776024 13799829874 20699744811 27599659748 41399489622 55199319496 82798979244 89698894181 165597958488 179397788362 269096682543 358795576724 538193365086 717591153448 1076386730172 2152773460344