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85732380858852 = 223271343360438419
BaseRepresentation
bin10011011111100100100000…
…000110110101100111100100
3102020112221021000202121111200
4103133210200012311213210
542214114403444440402
6502200525000402500
724025650214350360
oct2337444006654744
9366487230677450
1085732380858852
1125353997a57872
129747614a76430
1338ab6b4aa1910
14172567dd662a0
159da168d8121c
hex4df9201b59e4

85732380858852 has 144 divisors (see below), whose sum is σ = 267338955461760. Its totient is φ = 22558518641664.

The previous prime is 85732380858811. The next prime is 85732380858953. The reversal of 85732380858852 is 25885808323758.

85732380858852 is a `hidden beast` number, since 8 + 5 + 7 + 3 + 2 + 38 + 0 + 8 + 588 + 5 + 2 = 666.

85732380858852 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×857323808588522 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28800702 + ... + 31637717.

It is an arithmetic number, because the mean of its divisors is an integer number (1856520524040).

Almost surely, 285732380858852 is an apocalyptic number.

It is an amenable number.

85732380858852 is an abundant number, since it is smaller than the sum of its proper divisors (181606574602908).

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

85732380858852 is a wasteful number, since it uses less digits than its factorization.

85732380858852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60438882 (or 60438877 counting only the distinct ones).

The product of its (nonzero) digits is 1032192000, while the sum is 72.

The spelling of 85732380858852 in words is "eighty-five trillion, seven hundred thirty-two billion, three hundred eighty million, eight hundred fifty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 433 468 546 819 866 1092 1299 1638 1732 2598 3031 3276 3897 5196 5629 6062 7794 9093 11258 12124 15588 16887 18186 22516 27279 33774 36372 39403 50661 54558 67548 78806 101322 109116 118209 157612 202644 236418 354627 472836 709254 1418508 60438419 120876838 181315257 241753676 362630514 423068933 543945771 725261028 785699447 846137866 1087891542 1269206799 1571398894 1692275732 2175783084 2357098341 2538413598 3142797788 3807620397 4714196682 5076827196 5499896129 7071295023 7615240794 9428393364 10999792258 14142590046 15230481588 16499688387 21999584516 26169835427 28285180092 32999376774 49499065161 52339670854 65998753548 78509506281 98998130322 104679341708 157019012562 183188847989 197996260644 235528518843 314038025124 340207860551 366377695978 471057037686 549566543967 680415721102 732755391956 942114075372 1020623581653 1099133087934 1360831442204 1648699631901 2041247163306 2198266175868 2381455023857 3061870744959 3297399263802 4082494326612 4762910047714 6123741489918 6594798527604 7144365071571 9525820095428 12247482979836 14288730143142 21433095214713 28577460286284 42866190429426 85732380858852