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93460440240036 = 2234127242292
BaseRepresentation
bin10101010000000001110100…
…010101110100111110100100
3110020220201201202220020110000
4111100001310111310332210
544222223440200140121
6530435044501301300
725454202556300302
oct2520016425647644
9406821652806400
1093460440240036
1127863394009131
12a595314404830
13401c387b762bc
14191171bcad272
15ac11c1bcd526
hex550074574fa4

93460440240036 has 135 divisors (see below), whose sum is σ = 246321257406609. Its totient is φ = 30900868461792.

The previous prime is 93460440239983. The next prime is 93460440240067. The reversal of 93460440240036 is 63004204406439.

It is a happy number.

The square root of 93460440240036 is 9667494.

It is a perfect power (a square), and thus also a powerful number.

93460440240036 is a `hidden beast` number, since 9 + 3 + 4 + 604 + 4 + 0 + 2 + 4 + 0 + 0 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93107176430436 + 353263809600 = 9649206^2 + 594360^2 .

It is a super-2 number, since 2×934604402400362 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 93460440239973 and 93460440240000.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22099889170 + ... + 22099893398.

Almost surely, 293460440240036 is an apocalyptic number.

93460440240036 is the 9667494-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93460440240036

93460440240036 is an abundant number, since it is smaller than the sum of its proper divisors (152860817166573).

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

93460440240036 is an frugal number, since it uses more digits than its factorization.

93460440240036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8728 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 93460440240036 in words is "ninety-three trillion, four hundred sixty billion, four hundred forty million, two hundred forty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 254 324 381 508 762 1143 1524 2286 3429 4229 4572 6858 8458 10287 12687 13716 16129 16916 20574 25374 32258 38061 41148 48387 50748 64516 76122 96774 114183 145161 152244 193548 228366 290322 342549 435483 456732 537083 580644 685098 870966 1074166 1306449 1370196 1611249 1741932 2148332 2612898 3222498 4833747 5225796 6444996 9667494 14501241 17884441 19334988 29002482 35768882 43503723 53653323 58004964 68209541 71537764 87007446 107306646 136419082 160959969 174014892 204628623 214613292 272838164 321919938 409257246 482879907 613885869 643839876 818514492 965759814 1227771738 1448639721 1841657607 1931519628 2271324007 2455543476 2897279442 3683315214 4542648014 5524972821 5794558884 6813972021 7366630428 9085296028 11049945642 13627944042 20441916063 22099891284 27255888084 40883832126 61325748189 81767664252 122651496378 183977244567 245302992756 288458148889 367954489134 576916297778 735908978268 865374446667 1153832595556 1730748893334 2596123340001 3461497786668 5192246680002 7788370020003 10384493360004 15576740040006 23365110060009 31153480080012 46730220120018 93460440240036