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4120046964396 = 223211174639131927
BaseRepresentation
bin111011111101000101111…
…011111000111010101100
3112120212120011020100110200
4323331011323320322230
51020000324010330041
612432420133033500
7603443414241006
oct73750573707254
915525504210420
104120046964396
111349336113840
125665ab485890
1323b69894758c
141035a89cd376
157228a13b1b6
hex3bf45ef8eac

4120046964396 has 144 divisors (see below), whose sum is σ = 12032340203520. Its totient is φ = 1174795752960.

The previous prime is 4120046964389. The next prime is 4120046964409. The reversal of 4120046964396 is 6934696400214.

4120046964396 is a `hidden beast` number, since 4 + 1 + 200 + 46 + 9 + 6 + 4 + 396 = 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, 31163785 + ... + 31295711.

It is an arithmetic number, because the mean of its divisors is an integer number (83557918080).

Almost surely, 24120046964396 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 4120046964396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016170101760).

4120046964396 is an abundant number, since it is smaller than the sum of its proper divisors (7912293239124).

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

4120046964396 is a wasteful number, since it uses less digits than its factorization.

4120046964396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136604 (or 136599 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 4120046964396 in words is "four trillion, one hundred twenty billion, forty-six million, nine hundred sixty-four thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 4639 6732 9278 13917 18556 27834 41751 51029 55668 78863 83502 102058 131927 153087 157726 167004 204116 236589 263854 306174 315452 395781 459261 473178 527708 612348 709767 791562 867493 918522 946356 1187343 1419534 1451197 1583124 1734986 1837044 2242759 2374686 2602479 2839068 2902394 3469972 4353591 4485518 4749372 5204958 5804788 6728277 7807437 8707182 8971036 10409916 13060773 13456554 15614874 17414364 20184831 24670349 26121546 26913108 31229748 40369662 49340698 52243092 74011047 80739324 98681396 148022094 222033141 296044188 444066282 612009353 888132564 1224018706 1836028059 2448037412 3672056118 5508084177 6732102883 7344112236 10404159001 11016168354 13464205766 20196308649 20808318002 22032336708 26928411532 31212477003 40392617298 41616636004 60588925947 62424954006 80785234596 93637431009 114445749011 121177851894 124849908012 187274862018 228891498022 242355703788 343337247033 374549724036 457782996044 686674494066 1030011741099 1373348988132 2060023482198 4120046964396