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46636993936 = 2413241532
BaseRepresentation
bin101011011011110010…
…000000110110010000
311110101012201202120201
4223123302000312100
51231003032301221
633231424344544
73240464623231
oct533362006620
9143335652521
1046636993936
11188624048a5
129056775154
1345230ca400
142385c33088
15132e4e8891
hexadbc80d90

46636993936 has 45 divisors (see below), whose sum is σ = 97868116899. Its totient is φ = 21519583488.

The previous prime is 46636993933. The next prime is 46636993939. The reversal of 46636993936 is 63939963664.

The square root of 46636993936 is 215956.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (46636993933) and next prime (46636993939).

It can be written as a sum of positive squares in 4 ways, for example, as 35737633936 + 10899360000 = 189044^2 + 104400^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46636993933) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11227636 + ... + 11231788.

Almost surely, 246636993936 is an apocalyptic number.

46636993936 is the 215956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46636993936

46636993936 is an abundant number, since it is smaller than the sum of its proper divisors (51231122963).

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

46636993936 is an frugal number, since it uses more digits than its factorization.

46636993936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8340 (or 4168 counting only the distinct ones).

The product of its digits is 102036672, while the sum is 64.

Multiplying 46636993936 by its sum of digits (64), we get a square (2984767611904 = 17276482).

The spelling of 46636993936 in words is "forty-six billion, six hundred thirty-six million, nine hundred ninety-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 4153 8306 16612 33224 53989 66448 107978 215956 431912 701857 863824 1403714 2807428 5614856 11229712 17247409 34494818 68989636 137979272 224216317 275958544 448432634 896865268 1793730536 2914812121 3587461072 5829624242 11659248484 23318496968 46636993936