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153344212152 = 233191811979431
BaseRepresentation
bin1000111011010000000…
…1101111110010111000
3112122210211012002111220
42032310001233302320
510003022104242102
6154240110352040
714036004203625
oct2166401576270
9478724162456
10153344212152
115a03a8a024a
12258767bb620
13115ca371611
1475c999934c
153ec74b71bc
hex23b406fcb8

153344212152 has 128 divisors (see below), whose sum is σ = 407869862400. Its totient is φ = 47907417600.

The previous prime is 153344212129. The next prime is 153344212163. The reversal of 153344212152 is 251212443351.

153344212152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1533442121522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16254877 + ... + 16264307.

It is an arithmetic number, because the mean of its divisors is an integer number (3186483300).

Almost surely, 2153344212152 is an apocalyptic number.

153344212152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153344212152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203934931200).

153344212152 is an abundant number, since it is smaller than the sum of its proper divisors (254525650248).

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

153344212152 is a wasteful number, since it uses less digits than its factorization.

153344212152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9837 (or 9833 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The spelling of 153344212152 in words is "one hundred fifty-three billion, three hundred forty-four million, two hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 181 197 228 362 394 456 543 591 724 788 1086 1182 1448 1576 2172 2364 3439 3743 4344 4728 6878 7486 9431 10317 11229 13756 14972 18862 20634 22458 27512 28293 29944 35657 37724 41268 44916 56586 71314 75448 82536 89832 106971 113172 142628 179189 213942 226344 285256 358378 427884 537567 677483 716756 855768 1075134 1354966 1433512 1707011 1857907 2032449 2150268 2709932 3414022 3715814 4064898 4300536 5121033 5419864 5573721 6828044 7431628 8129796 10242066 11147442 13656088 14863256 16259592 20484132 22294884 32433209 35300233 40968264 44589768 64866418 70600466 97299627 105900699 129732836 141200932 194599254 211801398 259465672 282401864 336281167 389198508 423602796 672562334 778397016 847205592 1008843501 1345124668 2017687002 2690249336 4035374004 6389342173 8070748008 12778684346 19168026519 25557368692 38336053038 51114737384 76672106076 153344212152