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130492734048 = 253533614993
BaseRepresentation
bin111100110000111111…
…0010001101001100000
3110110211021002201200000
41321201332101221200
54114222114442143
6135540400100000
712266505636525
oct1714176215140
9413737081600
10130492734048
1150383823556
1221359904600
13c3c7cb4641
14645cacd14c
1535db243bd3
hex1e61f91a60

130492734048 has 144 divisors (see below), whose sum is σ = 385024335696. Its totient is φ = 43475927040.

The previous prime is 130492734041. The next prime is 130492734067. The reversal of 130492734048 is 840437294031.

130492734048 is a `hidden beast` number, since 13 + 0 + 492 + 73 + 40 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 130492733994 and 130492734012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130492734041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26132640 + ... + 26137632.

It is an arithmetic number, because the mean of its divisors is an integer number (2673780109).

Almost surely, 2130492734048 is an apocalyptic number.

130492734048 is a gapful number since it is divisible by the number (18) 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 130492734048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192512167848).

130492734048 is an abundant number, since it is smaller than the sum of its proper divisors (254531601648).

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

130492734048 is an equidigital number, since it uses as much as digits as its factorization.

130492734048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8379 (or 8359 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 130492734048 in words is "one hundred thirty billion, four hundred ninety-two million, seven hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3361 3888 4993 6722 7776 9986 10083 13444 14979 19972 20166 26888 29958 30249 39944 40332 44937 53776 59916 60498 79888 80664 89874 90747 107552 119832 120996 134811 159776 161328 179748 181494 239664 241992 269622 272241 322656 359496 362988 404433 479328 483984 539244 544482 718992 725976 808866 816723 967968 1078488 1088964 1213299 1437984 1451952 1617732 1633446 2156976 2177928 2426598 2903904 3235464 3266892 4313952 4355856 4853196 6470928 6533784 8711712 9706392 12941856 13067568 16781473 19412784 26135136 33562946 38825568 50344419 67125892 100688838 134251784 151033257 201377676 268503568 302066514 402755352 453099771 537007136 604133028 805510704 906199542 1208266056 1359299313 1611021408 1812399084 2416532112 2718598626 3624798168 4077897939 4833064224 5437197252 7249596336 8155795878 10874394504 14499192672 16311591756 21748789008 32623183512 43497578016 65246367024 130492734048