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132810506877213 = 3511219722928443
BaseRepresentation
bin11110001100101001011011…
…000101011011100100011101
3122102020120010120112112200000
4132030221123011123210131
5114401431404230032323
61150244145442124513
736655146112042614
oct3614513305334435
9572216116475600
10132810506877213
113935468a851100
1212a8b696050739
135914c917a5819
1424b20c459c87b
151054a8ce9be43
hex78ca5b15b91d

132810506877213 has 72 divisors (see below), whose sum is σ = 219782342523744. Its totient is φ = 80082627942240.

The previous prime is 132810506877179. The next prime is 132810506877227. The reversal of 132810506877213 is 312778605018231.

132810506877213 is a `hidden beast` number, since 1 + 3 + 28 + 10 + 506 + 87 + 7 + 21 + 3 = 666.

It is not a de Polignac number, because 132810506877213 - 216 = 132810506811677 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132810506877213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132810506877253) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5671831 + ... + 17256612.

It is an arithmetic number, because the mean of its divisors is an integer number (3052532535052).

Almost surely, 2132810506877213 is an apocalyptic number.

It is an amenable number.

132810506877213 is a deficient number, since it is larger than the sum of its proper divisors (86971835646531).

132810506877213 is a wasteful number, since it uses less digits than its factorization.

132810506877213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22928677 (or 22928654 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 132810506877213 in words is "one hundred thirty-two trillion, eight hundred ten billion, five hundred six million, eight hundred seventy-seven thousand, two hundred thirteen".

Divisors: 1 3 9 11 27 33 81 99 121 197 243 297 363 591 891 1089 1773 2167 2673 3267 5319 6501 9801 15957 19503 23837 29403 47871 58509 71511 175527 214533 526581 643599 1930797 5792391 22928443 68785329 206355987 252212873 619067961 756638619 1857203883 2269915857 2774341603 4516903271 5571611649 6809747571 8323024809 13550709813 20429242713 24969074427 40652129439 49685935981 61287728139 74907223281 121956388317 149057807943 224721669843 365869164951 447173423829 546545295791 674165009529 1097607494853 1341520271487 1639635887373 4024560814461 4918907662119 12073682443383 14756722986357 44270168959071 132810506877213