Search a number
-
+
46455655464 = 233367247911
BaseRepresentation
bin101011010000111110…
…010000110000101000
311102220120111210222000
4223100332100300220
51230120121433324
633201425531000
73233133361521
oct532076206050
9142816453860
1046455655464
111877a008599
129005aa3a60
1344c467823a
142369b0b848
15131d6289c9
hexad0f90c28

46455655464 has 96 divisors (see below), whose sum is σ = 131000990400. Its totient is φ = 15253777440.

The previous prime is 46455655459. The next prime is 46455655471.

46455655464 is a `hidden beast` number, since 4 + 6 + 45 + 56 + 5 + 546 + 4 = 666.

46455655464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 46455655464.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 945669 + ... + 993579.

It is an arithmetic number, because the mean of its divisors is an integer number (1364593650).

Almost surely, 246455655464 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 46455655464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65500495200).

46455655464 is an abundant number, since it is smaller than the sum of its proper divisors (84545334936).

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

46455655464 is a wasteful number, since it uses less digits than its factorization.

46455655464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48060 (or 47983 counting only the distinct ones).

The product of its digits is 34560000, while the sum is 54.

The spelling of 46455655464 in words is "forty-six billion, four hundred fifty-five million, six hundred fifty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2412 3618 4489 4824 7236 8978 13467 14472 17956 26934 35912 40401 47911 53868 80802 95822 107736 121203 143733 161604 191644 242406 287466 323208 383288 431199 484812 574932 862398 969624 1149864 1293597 1724796 2587194 3210037 3449592 5174388 6420074 9630111 10348776 12840148 19260222 25680296 28890333 38520444 57780666 77040888 86670999 115561332 173341998 215072479 231122664 346683996 430144958 645217437 693367992 860289916 1290434874 1720579832 1935652311 2580869748 3871304622 5161739496 5806956933 7742609244 11613913866 15485218488 23227827732 46455655464