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145648846221333 = 37136171489580717
BaseRepresentation
bin100001000111011110000011…
…101111011011000000010101
3201002200220010111222212100020
4201013132003233123000111
5123042302314113040313
61233434053425535353
742451532120652630
oct4107360357330025
9632626114885306
10145648846221333
11424543686a8364
121440387baa4559
136336820141bc0
1427d762830ac17
1511c89d9eb5323
hex847783bdb015

145648846221333 has 64 divisors (see below), whose sum is σ = 239562063444480. Its totient is φ = 76649606111232.

The previous prime is 145648846221311. The next prime is 145648846221341. The reversal of 145648846221333 is 333122648846541.

It is a happy number.

It is not a de Polignac number, because 145648846221333 - 218 = 145648845959189 is a prime.

It is a super-2 number, since 2×1456488462213332 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145648846221383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250518291 + ... + 251099007.

It is an arithmetic number, because the mean of its divisors is an integer number (3743157241320).

Almost surely, 2145648846221333 is an apocalyptic number.

145648846221333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

145648846221333 is a deficient number, since it is larger than the sum of its proper divisors (93913217223147).

145648846221333 is a wasteful number, since it uses less digits than its factorization.

145648846221333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582846.

The product of its digits is 79626240, while the sum is 60.

The spelling of 145648846221333 in words is "one hundred forty-five trillion, six hundred forty-eight billion, eight hundred forty-six million, two hundred twenty-one thousand, three hundred thirty-three".

Divisors: 1 3 7 13 21 39 91 273 617 1489 1851 4319 4467 8021 10423 12957 19357 24063 31269 56147 58071 135499 168441 406497 580717 918713 1742151 2756139 4065019 6430991 7549321 11943269 12195057 19292973 22647963 35829807 52845247 83602883 158535741 250808649 358302389 864687613 1074907167 2508116723 2594062839 4657931057 6052813291 7524350169 11240938969 13973793171 18158439873 32605517399 33722816907 78686572783 97816552197 236059718349 533512257221 1600536771663 3734585800547 6935659343873 11203757401641 20806978031619 48549615407111 145648846221333