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46738423032 = 233747910267
BaseRepresentation
bin101011100001110100…
…111011110011111000
311110122021120220010220
4223201310323303320
51231210014014112
633245450340040
73243136020000
oct534164736370
9143567526126
1046738423032
1118904691aa4
12908472a620
13453b121522
1423954b7000
15133838198c
hexae1d3bcf8

46738423032 has 160 divisors (see below), whose sum is σ = 138051206400. Its totient is φ = 13183515072.

The previous prime is 46738423021. The next prime is 46738423049. The reversal of 46738423032 is 23032483764.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4547163 + ... + 4557429.

It is an arithmetic number, because the mean of its divisors is an integer number (862820040).

Almost surely, 246738423032 is an apocalyptic number.

46738423032 is a gapful number since it is divisible by the number (42) 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 46738423032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69025603200).

46738423032 is an abundant number, since it is smaller than the sum of its proper divisors (91312783368).

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

46738423032 is a wasteful number, since it uses less digits than its factorization.

46738423032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10383 (or 10358 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 46738423032 in words is "forty-six billion, seven hundred thirty-eight million, four hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 79 84 98 147 158 168 196 237 294 316 343 392 474 553 588 632 686 948 1029 1106 1176 1372 1659 1896 2058 2212 2401 2744 3318 3871 4116 4424 4802 6636 7203 7742 8232 9604 10267 11613 13272 14406 15484 19208 20534 23226 27097 28812 30801 30968 41068 46452 54194 57624 61602 71869 81291 82136 92904 108388 123204 143738 162582 189679 215607 216776 246408 287476 325164 379358 431214 503083 569037 574952 650328 758716 811093 862428 1006166 1138074 1509249 1517432 1622186 1724856 2012332 2276148 2433279 3018498 3244372 3521581 4024664 4552296 4866558 5677651 6036996 6488744 7043162 9733116 10564743 11355302 12073992 14086324 17032953 19466232 21129486 22710604 24651067 28172648 34065906 39743557 42258972 45421208 49302134 68131812 73953201 79487114 84517944 98604268 119230671 136263624 147906402 158974228 197208536 238461342 278204899 295812804 317948456 476922684 556409798 591625608 834614697 953845368 1112819596 1669229394 1947434293 2225639192 3338458788 3894868586 5842302879 6676917576 7789737172 11684605758 15579474344 23369211516 46738423032