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730006463628 = 22321317909110093
BaseRepresentation
bin10101001111101111100…
…01101010010010001100
32120210021101221200112200
422213313301222102030
543430023123314003
61315205500001500
7103512145362531
oct12476761522214
92523241850480
10730006463628
11261659687972
12b9591830290
1353abac86070
1427492552d88
1513ec855b6a3
hexa9f7c6a48c

730006463628 has 144 divisors (see below), whose sum is σ = 2104576227936. Its totient is φ = 211360389120.

The previous prime is 730006463617. The next prime is 730006463647. The reversal of 730006463628 is 826364600037.

730006463628 is a `hidden beast` number, since 7 + 3 + 0 + 0 + 0 + 6 + 4 + 636 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72322950 + ... + 72333042.

It is an arithmetic number, because the mean of its divisors is an integer number (14615112694).

Almost surely, 2730006463628 is an apocalyptic number.

730006463628 is a gapful number since it is divisible by the number (78) 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 730006463628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052288113968).

730006463628 is an abundant number, since it is smaller than the sum of its proper divisors (1374569764308).

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

730006463628 is a wasteful number, since it uses less digits than its factorization.

730006463628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19224 (or 19219 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 730006463628 in words is "seven hundred thirty billion, six million, four hundred sixty-three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 9091 10093 18182 20186 27273 30279 36364 40372 54546 60558 81819 90837 109092 118183 121116 131209 154547 163638 171581 181674 236366 262418 309094 327276 343162 354549 363348 393627 463641 472732 514743 524836 618188 686324 709098 787254 927282 1029486 1063647 1180881 1390923 1418196 1544229 1574508 1854564 2009111 2058972 2127294 2230553 2361762 2781846 3088458 4018222 4254588 4461106 4723524 5563692 6027333 6176916 6691659 8036444 8922212 12054666 13383318 18081999 20074977 24109332 26766636 36163998 40149954 72327996 80299908 91755463 183510926 275266389 367021852 550532778 825799167 1101065556 1192821019 1559842871 1651598334 2385642038 3119685742 3303196668 3578463057 4679528613 4771284076 6239371484 7156926114 9359057226 10735389171 14038585839 14313852228 18718114452 20277957323 21470778342 28077171678 40555914646 42941556684 56154343356 60833871969 81111829292 121667743938 182501615907 243335487876 365003231814 730006463628