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35000000086016 = 2157349943609
BaseRepresentation
bin1111111010101000100101…
…00100101000000000000000
311120220222010011222020220002
413331110102210220000000
514041420000010223031
6202234440021335132
710241444426030210
oct775242244500000
9146828104866802
1035000000086016
11101744646671a9
123b132992674a8
13166b6415336c4
1489001ab56240
1540a66c515ccb
hex1fd512928000

35000000086016 has 128 divisors (see below), whose sum is σ = 80023477800000. Its totient is φ = 14995369230336.

The previous prime is 35000000085997. The next prime is 35000000086021. The reversal of 35000000086016 is 61068000000053.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×350000000860162 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 35000000086016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 802564820 + ... + 802608428.

Almost surely, 235000000086016 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 35000000086016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40011738900000).

35000000086016 is an abundant number, since it is smaller than the sum of its proper divisors (45023477713984).

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

35000000086016 is an frugal number, since it uses more digits than its factorization.

35000000086016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47145 (or 47117 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 35000000086016 its reverse (61068000000053), we get a palindrome (96068000086069).

The spelling of 35000000086016 in words is "thirty-five trillion, eighty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3499 3584 4096 6998 7168 8192 13996 14336 16384 24493 27992 28672 32768 43609 48986 55984 57344 87218 97972 111968 114688 174436 195944 223936 229376 305263 348872 391888 447872 610526 697744 783776 895744 1221052 1395488 1567552 1791488 2442104 2790976 3135104 3582976 4884208 5581952 6270208 7165952 9768416 11163904 12540416 14331904 19536832 22327808 25080832 28663808 39073664 44655616 50161664 57327616 78147328 89311232 100323328 114655232 152587891 156294656 178622464 200646656 305175782 312589312 357244928 401293312 610351564 625178624 714489856 802586624 1068115237 1220703128 1250357248 1428979712 2136230474 2441406256 2500714496 4272460948 4882812512 5001428992 8544921896 9765625024 10002857984 17089843792 19531250048 34179687584 39062500096 68359375168 78125000192 136718750336 156250000384 273437500672 312500000768 546875001344 625000001536 1093750002688 1250000003072 2187500005376 2500000006144 4375000010752 5000000012288 8750000021504 17500000043008 35000000086016