Search a number
-
+
51005402403345 = 32513432027644699
BaseRepresentation
bin10111001100011100111101…
…11001000101001000010001
320200121001212012011012210200
423212032132321011020101
523141133031003401340
6300251320340045413
713513006264016205
oct1346163671051021
9220531765135720
1051005402403345
11152852a6a48635
125879232093869
13225ca34020890
14c84963340b05
155d6b7a818330
hex2e639ee45211

51005402403345 has 48 divisors (see below), whose sum is σ = 97424272545600. Its totient is φ = 24526390267008.

The previous prime is 51005402403341. The next prime is 51005402403349. The reversal of 51005402403345 is 54330420450015.

51005402403345 is a `hidden beast` number, since 5 + 1 + 0 + 0 + 540 + 2 + 40 + 33 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (51005402403341) and next prime (51005402403349).

It is not a de Polignac number, because 51005402403345 - 22 = 51005402403341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51005402403341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1013797195 + ... + 1013847504.

It is an arithmetic number, because the mean of its divisors is an integer number (2029672344700).

Almost surely, 251005402403345 is an apocalyptic number.

It is an amenable number.

51005402403345 is a deficient number, since it is larger than the sum of its proper divisors (46418870142255).

51005402403345 is a wasteful number, since it uses less digits than its factorization.

51005402403345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027644766 (or 2027644763 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 51005402403345 in words is "fifty-one trillion, five billion, four hundred two million, four hundred three thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 39 43 45 65 117 129 195 215 387 559 585 645 1677 1935 2795 5031 8385 25155 2027644699 6082934097 10138223495 18248802291 26359381087 30414670485 79078143261 87188722057 91244011455 131796905435 237234429783 261566166171 395390716305 435943610285 784698498513 1133453386741 1186172148915 1307830830855 3400360160223 3923492492565 5667266933705 10201080480669 17001800801115 51005402403345