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130084910056704 = 2833133311640323
BaseRepresentation
bin11101100100111111000000…
…110110101100010100000000
3122001120222220001021002022210
4131210333000312230110000
5114022302343433303304
61140400103243102120
736254216224242261
oct3544770066542400
9561528801232283
10130084910056704
11384a3778469609
121270b3b1211940
135777c53a166a5
14241a2010a4968
151008c18b53c89
hex764fc0dac500

130084910056704 has 144 divisors (see below), whose sum is σ = 357491320223744. Its totient is φ = 41950250956800.

The previous prime is 130084910056643. The next prime is 130084910056729. The reversal of 130084910056704 is 407650019480031.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78484287 + ... + 80124609.

Almost surely, 2130084910056704 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 130084910056704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178745660111872).

130084910056704 is an abundant number, since it is smaller than the sum of its proper divisors (227406410167040).

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

130084910056704 is a wasteful number, since it uses less digits than its factorization.

130084910056704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643704 (or 1643690 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 130084910056704 in words is "one hundred thirty trillion, eighty-four billion, nine hundred ten million, fifty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3331 3968 5952 6662 7936 9993 11904 13324 19986 23808 26648 39972 53296 79944 103261 106592 159888 206522 213184 309783 319776 413044 426368 619566 639552 826088 852736 1239132 1279104 1640323 1652176 2478264 2558208 3280646 3304352 4920969 4956528 6561292 6608704 9841938 9913056 13122584 13217408 19683876 19826112 26245168 26434816 39367752 39652224 50850013 52490336 78735504 79304448 101700026 104980672 152550039 157471008 203400052 209961344 305100078 314942016 406800104 419922688 610200156 629884032 813600208 1220400312 1259768064 1627200416 2440800624 3254400832 4881601248 5463915913 6508801664 9763202496 10927831826 13017603328 16391747739 19526404992 21855663652 32783495478 39052809984 43711327304 65566990956 87422654608 131133981912 169381393303 174845309216 262267963824 338762786606 349690618432 508144179909 524535927648 677525573212 699381236864 1016288359818 1049071855296 1355051146424 1398762473728 2032576719636 2098143710592 2710102292848 4065153439272 4196287421184 5420204585696 8130306878544 10840409171392 16260613757088 21680818342784 32521227514176 43361636685568 65042455028352 130084910056704