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85648155372 = 2232132918613391
BaseRepresentation
bin100111111000100000…
…1110010001011101100
322012001222010002120200
41033301001302023230
52400401411432442
6103202441113500
76121304210613
oct1176101621354
9265058102520
1085648155372
113336117288a
1214723488890
1380cc34cba0
144206d5a87a
1523642a634c
hex13f10722ec

85648155372 has 144 divisors (see below), whose sum is σ = 241393850880. Its totient is φ = 25423372800.

The previous prime is 85648155361. The next prime is 85648155451. The reversal of 85648155372 is 27355184658.

85648155372 is a `hidden beast` number, since 8 + 5 + 6 + 4 + 81 + 553 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25255797 + ... + 25259187.

Almost surely, 285648155372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85648155372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120696925440).

85648155372 is an abundant number, since it is smaller than the sum of its proper divisors (155745695508).

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

85648155372 is a wasteful number, since it uses less digits than its factorization.

85648155372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5304 (or 5299 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 85648155372 in words is "eighty-five billion, six hundred forty-eight million, one hundred fifty-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 1861 2262 3391 3393 3722 4524 5583 6782 6786 7444 10173 11166 13564 13572 16749 20346 22332 24193 30519 33498 40692 44083 48386 53969 61038 66996 72579 88166 96772 98339 107938 122076 132249 145158 161907 176332 196678 215876 217737 264498 290316 295017 323814 393356 396747 435474 485721 528996 590034 647628 701597 793494 870948 885051 971442 1180068 1278407 1403194 1586988 1770102 1942884 2104791 2556814 2806388 3540204 3835221 4209582 5113628 6310651 6314373 7670442 8419164 11505663 12621302 12628746 15340884 18931953 23011326 25242604 25257492 37863906 46022652 56795859 75727812 82038463 113591718 164076926 183008879 227183436 246115389 328153852 366017758 492230778 549026637 732035516 738346167 984461556 1098053274 1476692334 1647079911 2196106548 2379115427 2953384668 3294159822 4758230854 6588319644 7137346281 9516461708 14274692562 21412038843 28549385124 42824077686 85648155372