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3020248991664 = 2432176911785473
BaseRepresentation
bin101011111100110100110…
…111100100011110110000
3101200201210100022122001100
4223330310313210132300
5343440432220213124
610231252213404400
7431130404563152
oct53746467443660
911621710278040
103020248991664
11a649758aa933
12409417339700
1318ba67986288
14a62762b4ad2
155386c2951c9
hex2bf34de47b0

3020248991664 has 120 divisors (see below), whose sum is σ = 8962665250032. Its totient is φ = 946157322240.

The previous prime is 3020248991633. The next prime is 3020248991717. The reversal of 3020248991664 is 4661998420203.

3020248991664 is a `hidden beast` number, since 302 + 0 + 248 + 9 + 91 + 6 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3020248991664.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 798832 + ... + 2584304.

Almost surely, 23020248991664 is an apocalyptic number.

3020248991664 is a gapful number since it is divisible by the number (34) 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 3020248991664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481332625016).

3020248991664 is an abundant number, since it is smaller than the sum of its proper divisors (5942416258368).

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

3020248991664 is a wasteful number, since it uses less digits than its factorization.

3020248991664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786195 (or 1786186 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 3020248991664 in words is "three trillion, twenty billion, two hundred forty-eight million, nine hundred ninety-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 691 816 1224 1382 2073 2448 2764 4146 5528 6219 8292 11056 11747 12438 16584 23494 24876 33168 35241 46988 49752 70482 93976 99504 105723 140964 187952 211446 281928 422892 563856 845784 1691568 1785473 3570946 5356419 7141892 10712838 14283784 16069257 21425676 28567568 30353041 32138514 42851352 60706082 64277028 85702704 91059123 121412164 128554056 182118246 242824328 257108112 273177369 364236492 485648656 546354738 728472984 1092709476 1233761843 1456945968 2185418952 2467523686 3701285529 4370837904 4935047372 7402571058 9870094744 11103856587 14805142116 19740189488 20973951331 22207713174 29610284232 41947902662 44415426348 59220568464 62921853993 83895805324 88830852696 125843707986 167791610648 177661705392 188765561979 251687415972 335583221296 377531123958 503374831944 755062247916 1006749663888 1510124495832 3020248991664