Search a number
-
+
21453514350 = 2352316597001
BaseRepresentation
bin10011111110101110…
…101010011001101110
32001101010120110002120
4103332232222121232
5322414044424400
613504451133410
71356431602032
oct237656523156
961333513076
1021453514350
119109a49954
1241a88a4266
13203b8722b8
1410773681c2
15858681ca0
hex4febaa66e

21453514350 has 96 divisors (see below), whose sum is σ = 55012193280. Its totient is φ = 5527200000.

The previous prime is 21453514349. The next prime is 21453514399. The reversal of 21453514350 is 5341535412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3060850 + ... + 3067850.

It is an arithmetic number, because the mean of its divisors is an integer number (573043680).

Almost surely, 221453514350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21453514350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27506096640).

21453514350 is an abundant number, since it is smaller than the sum of its proper divisors (33558678930).

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

21453514350 is a wasteful number, since it uses less digits than its factorization.

21453514350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7706 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

It can be divided in two parts, 2145351 and 4350, that added together give a triangular number (2149701 = T2073).

The spelling of 21453514350 in words is "twenty-one billion, four hundred fifty-three million, five hundred fourteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 310 465 659 775 930 1318 1550 1977 2325 3295 3954 4650 6590 7001 9885 14002 16475 19770 20429 21003 32950 35005 40858 42006 49425 61287 70010 98850 102145 105015 122574 175025 204290 210030 217031 306435 350050 434062 510725 525075 612870 651093 1021450 1050150 1085155 1302186 1532175 2170310 3064350 3255465 4613659 5425775 6510930 9227318 10851550 13840977 16277325 23068295 27681954 32554650 46136590 69204885 115341475 138409770 143023429 230682950 286046858 346024425 429070287 692048850 715117145 858140574 1430234290 2145351435 3575585725 4290702870 7151171450 10726757175 21453514350