Search a number
-
+
7338903552 = 211326312
BaseRepresentation
bin1101101010110111…
…01100100000000000
3200221110102221001200
412311123230200000
5110012224403202
63212122101200
7346602436161
oct66533544000
920843387050
107338903552
11312668a952
12150994a800
138cc5a54a6
144d8979768
152ce45ee1c
hex1b56ec800

7338903552 has 108 divisors (see below), whose sum is σ = 21229745355. Its totient is φ = 2442424320.

The previous prime is 7338903547. The next prime is 7338903563. The reversal of 7338903552 is 2553098337.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

7338903552 is a `hidden beast` number, since 7 + 3 + 3 + 8 + 90 + 3 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3669451776 + 3669451776 = 60576^2 + 60576^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=60576.

It is a junction number, because it is equal to n+sod(n) for n = 7338903498 and 7338903507.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11630277 + ... + 11630907.

Almost surely, 27338903552 is an apocalyptic number.

7338903552 is a gapful number since it is divisible by the number (72) 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 7338903552

7338903552 is an abundant number, since it is smaller than the sum of its proper divisors (13890841803).

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

7338903552 is an frugal number, since it uses more digits than its factorization.

7338903552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 7338903552 is about 85667.4007543126. The cubic root of 7338903552 is about 1943.3173440079.

The spelling of 7338903552 in words is "seven billion, three hundred thirty-eight million, nine hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 631 768 1024 1152 1262 1536 1893 2048 2304 2524 3072 3786 4608 5048 5679 6144 7572 9216 10096 11358 15144 18432 20192 22716 30288 40384 45432 60576 80768 90864 121152 161536 181728 242304 323072 363456 398161 484608 646144 726912 796322 969216 1194483 1292288 1453824 1592644 1938432 2388966 2907648 3185288 3583449 3876864 4777932 5815296 6370576 7166898 9555864 11630592 12741152 14333796 19111728 25482304 28667592 38223456 50964608 57335184 76446912 101929216 114670368 152893824 203858432 229340736 305787648 407716864 458681472 611575296 815433728 917362944 1223150592 1834725888 2446301184 3669451776 7338903552