Search a number
-
+
328129458550335 = 325134792909402541
BaseRepresentation
bin100101010011011101001011…
…1110100010011011000111111
31121000210212111010220020200200
41022212322113310103120333
5321002033112342102320
63121512331532254543
7126054366605165151
oct11246722764233077
91530725433806620
10328129458550335
1195608a16041762
123097582b911453
1311112623c48ac0
145b0579c936ad1
1527e0600bb9290
hex12a6e97d1363f

328129458550335 has 96 divisors (see below), whose sum is σ = 613999566835200. Its totient is φ = 161147595156480.

The previous prime is 328129458550321. The next prime is 328129458550381. The reversal of 328129458550335 is 533055854921823.

328129458550335 is a `hidden beast` number, since 3 + 2 + 8 + 1 + 2 + 9 + 45 + 8 + 550 + 3 + 35 = 666.

It is a Cunningham number, because it is equal to 181143442-1.

It is not a de Polignac number, because 328129458550335 - 27 = 328129458550207 is a prime.

It is a super-2 number, since 2×3281294585503352 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 814944165 + ... + 815346705.

It is an arithmetic number, because the mean of its divisors is an integer number (6395828821200).

Almost surely, 2328129458550335 is an apocalyptic number.

328129458550335 is a deficient number, since it is larger than the sum of its proper divisors (285870108284865).

328129458550335 is a wasteful number, since it uses less digits than its factorization.

328129458550335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405953 (or 405950 counting only the distinct ones).

The product of its (nonzero) digits is 155520000, while the sum is 63.

The spelling of 328129458550335 in words is "three hundred twenty-eight trillion, one hundred twenty-nine billion, four hundred fifty-eight million, five hundred fifty thousand, three hundred thirty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 479 585 1437 2395 2909 4311 6227 7185 8727 14545 18681 21555 26181 31135 37817 43635 56043 93405 113451 130905 189085 280215 340353 402541 567255 1207623 1393411 1701765 2012705 3622869 4180233 5233033 6038115 6967055 12540699 15699099 18114343 18114345 20901165 26165165 47097297 54343029 62703495 78495495 90571715 163029087 192817139 235486485 271715145 578451417 815145435 964085695 1170991769 1735354251 2506622807 2892257085 3512975307 5854958845 7519868421 8676771255 10538925921 12533114035 15222892997 17564876535 22559605263 37599342105 45668678991 52694629605 76114464985 112798026315 137006036973 228343394955 560905057351 685030184865 1682715172053 2804525286755 5048145516159 7291765745563 8413575860265 21875297236689 25240727580795 36458828727815 65625891710067 109376486183445 328129458550335