Search a number
-
+
104306306210604 = 2232172918743313561
BaseRepresentation
bin10111101101110110110100…
…010101000101101100101100
3111200022120210211011221121200
4113231312310111011230230
5102132423303342214404
61005501353333525500
730653611335033501
oct2755666425055454
9450276724157550
10104306306210604
1130265068661443
12b847316aa3890
1346280723cc934
141ba8648a114a8
15c0d3a68aa839
hex5eddb4545b2c

104306306210604 has 144 divisors (see below), whose sum is σ = 288815737129920. Its totient is φ = 31593362411520.

The previous prime is 104306306210597. The next prime is 104306306210609. The reversal of 104306306210604 is 406012603603401.

104306306210604 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 0 + 6 + 30 + 6 + 2 + 10 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104306306210609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332493984 + ... + 332807544.

It is an arithmetic number, because the mean of its divisors is an integer number (2005664841180).

Almost surely, 2104306306210604 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 104306306210604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144407868564960).

104306306210604 is an abundant number, since it is smaller than the sum of its proper divisors (184509430919316).

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

104306306210604 is a wasteful number, since it uses less digits than its factorization.

104306306210604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332360 (or 332355 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 104306306210604 in words is "one hundred four trillion, three hundred six billion, three hundred six million, two hundred ten thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 306 348 493 522 612 986 1044 1479 1972 2958 4437 5916 8874 17748 18743 37486 56229 74972 112458 168687 224916 313561 318631 337374 543547 627122 637262 674748 940683 955893 1087094 1254244 1274524 1630641 1881366 1911786 2174188 2822049 2867679 3261282 3762732 3823572 4891923 5330537 5644098 5735358 6522564 9093269 9240299 9783846 10661074 11288196 11470716 15991611 18186538 18480598 19567692 21322148 27279807 27720897 31983222 36373076 36961196 47974833 54559614 55441794 63966444 81839421 83162691 95949666 109119228 110883588 154585573 163678842 166325382 191899332 309171146 327357684 332650764 463756719 618342292 927513438 1391270157 1855026876 2782540314 5565080628 5877073823 11754147646 17631221469 23508295292 35262442938 52893664407 70524885876 99910254991 105787328814 170435140867 199820509982 211574657628 299730764973 340870281734 399641019964 511305422601 599461529946 681740563468 899192294919 1022610845202 1198923059892 1533916267803 1798384589838 2045221690404 2897397394739 3067832535606 3596769179676 5794794789478 6135665071212 8692192184217 11589589578956 17384384368434 26076576552651 34768768736868 52153153105302 104306306210604