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427346731008 = 21334644029
BaseRepresentation
bin1100011011111111101…
…10011010000000000000
31111212001112021020120000
412031333312122000000
524000201230343013
6524153111320000
742606023164521
oct6157766320000
91455045236500
10427346731008
111552670a813a
126a9a5680000
13313b60cc192
14169800a0848
15b1b261d973
hex637fd9a000

427346731008 has 140 divisors (see below), whose sum is σ = 1276688362290. Its totient is φ = 142448689152.

The previous prime is 427346730977. The next prime is 427346731043. The reversal of 427346731008 is 800137643724.

427346731008 is a `hidden beast` number, since 4 + 273 + 4 + 67 + 310 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 258682097664 + 168664633344 = 508608^2 + 410688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 341538 + ... + 985566.

Almost surely, 2427346731008 is an apocalyptic number.

427346731008 is a gapful number since it is divisible by the number (48) 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 427346731008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638344181145).

427346731008 is an abundant number, since it is smaller than the sum of its proper divisors (849341631282).

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

427346731008 is an frugal number, since it uses more digits than its factorization.

427346731008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644067 (or 644034 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 427346731008 in words is "four hundred twenty-seven billion, three hundred forty-six million, seven hundred thirty-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 8192 9216 10368 12288 13824 18432 20736 24576 27648 36864 41472 55296 73728 82944 110592 165888 221184 331776 644029 663552 1288058 1932087 2576116 3864174 5152232 5796261 7728348 10304464 11592522 15456696 17388783 20608928 23185044 30913392 34777566 41217856 46370088 52166349 61826784 69555132 82435712 92740176 104332698 123653568 139110264 164871424 185480352 208665396 247307136 278220528 329742848 370960704 417330792 494614272 556441056 659485696 741921408 834661584 989228544 1112882112 1318971392 1483842816 1669323168 1978457088 2225764224 2637942784 2967685632 3338646336 3956914176 4451528448 5275885568 5935371264 6677292672 7913828352 8903056896 11870742528 13354585344 15827656704 17806113792 23741485056 26709170688 35612227584 47482970112 53418341376 71224455168 106836682752 142448910336 213673365504 427346731008