Search a number
-
+
2454630653024 = 251121783355549
BaseRepresentation
bin100011101110000011011…
…000110101110001100000
322200122211102121221100022
4203232003120311301200
5310204040421344044
65115350341413012
7342225015202664
oct43560330656140
98618742557308
102454630653024
11867004014400
12337882a0a168
1314a6171029b4
1486b3a37c8a4
1543cb5a663ee
hex23b83635c60

2454630653024 has 72 divisors (see below), whose sum is σ = 5314809754800. Its totient is φ = 1115112303360.

The previous prime is 2454630653023. The next prime is 2454630653207. The reversal of 2454630653024 is 4203560364542.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2454630653023) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6726002 + ... + 7081550.

It is an arithmetic number, because the mean of its divisors is an integer number (73816802150).

Almost surely, 22454630653024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2454630653024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657404877400).

2454630653024 is an abundant number, since it is smaller than the sum of its proper divisors (2860179101776).

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

2454630653024 is a wasteful number, since it uses less digits than its factorization.

2454630653024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357364 (or 357345 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 44.

The spelling of 2454630653024 in words is "two trillion, four hundred fifty-four billion, six hundred thirty million, six hundred fifty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1783 1936 3566 3872 7132 14264 19613 28528 39226 57056 78452 156904 215743 313808 355549 431486 627616 711098 862972 1422196 1725944 2844392 3451888 3911039 5688784 6903776 7822078 11377568 15644156 31288312 43021429 62576624 86042858 125153248 172085716 344171432 633943867 688342864 1267887734 1376685728 2535775468 5071550936 6973382537 10143101872 13946765074 20286203744 27893530148 55787060296 76707207907 111574120592 153414415814 223148241184 306828831628 613657663256 1227315326512 2454630653024