Search a number
-
+
46507821083780 = 22576713213753361
BaseRepresentation
bin10101001001100011100100…
…01001111010110010000100
320002200002211000102111102212
422210301302021322302010
522043441004144140110
6242525221551322552
712540036106412030
oct1244616211726204
9202602730374385
1046507821083780
11139009465aaa21
12527163b220458
131cc4890203944
14b6adc21011c0
15559b96240e05
hex2a4c7227ac84

46507821083780 has 96 divisors (see below), whose sum is σ = 113370509398272. Its totient is φ = 15695650713600.

The previous prime is 46507821083767. The next prime is 46507821083791. The reversal of 46507821083780 is 8738012870564.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10514300 + ... + 14267660.

It is an arithmetic number, because the mean of its divisors is an integer number (1180942806232).

Almost surely, 246507821083780 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 46507821083780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56685254699136).

46507821083780 is an abundant number, since it is smaller than the sum of its proper divisors (66862688314492).

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

46507821083780 is a wasteful number, since it uses less digits than its factorization.

46507821083780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754765 (or 3754763 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 59.

The spelling of 46507821083780 in words is "forty-six trillion, five hundred seven billion, eight hundred twenty-one million, eighty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1321 1340 1876 2345 2642 4690 5284 6605 9247 9380 13210 18494 26420 36988 46235 88507 92470 177014 184940 354028 442535 619549 885070 1239098 1770140 2478196 3097745 3753361 6195490 7506722 12390980 15013444 18766805 26273527 37533610 52547054 75067220 105094108 131367635 251475187 262735270 502950374 525470540 1005900748 1257375935 1760326309 2514751870 3520652618 4958189881 5029503740 7041305236 8801631545 9916379762 17603263090 19832759524 24790949405 34707329167 35206526180 49581898810 69414658334 99163797620 138829316668 173536645835 332198722027 347073291670 664397444054 694146583340 1328794888108 1660993610135 2325391054189 3321987220270 4650782108378 6643974440540 9301564216756 11626955270945 23253910541890 46507821083780