Search a number
-
+
11451353520 = 2435233204781
BaseRepresentation
bin10101010101000110…
…11100100110110000
31002120001202000212110
422222203130212300
5141423021303040
65132150125320
7553526620215
oct125243344660
932501660773
1011451353520
114946a99432
122277050840
1311065a9439
147a8c01b0c
154704e8980
hex2aa8dc9b0

11451353520 has 80 divisors (see below), whose sum is σ = 35651727072. Its totient is φ = 3040573440.

The previous prime is 11451353497. The next prime is 11451353533. The reversal of 11451353520 is 2535315411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×114513535202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46471 + ... + 158310.

Almost surely, 211451353520 is an apocalyptic number.

11451353520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11451353520 is an abundant number, since it is smaller than the sum of its proper divisors (24200373552).

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

11451353520 is a wasteful number, since it uses less digits than its factorization.

11451353520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205030 (or 205024 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 11451353520 its reverse (2535315411), we get a palindrome (13986668931).

The spelling of 11451353520 in words is "eleven billion, four hundred fifty-one million, three hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 233 240 466 699 932 1165 1398 1864 2330 2796 3495 3728 4660 5592 6990 9320 11184 13980 18640 27960 55920 204781 409562 614343 819124 1023905 1228686 1638248 2047810 2457372 3071715 3276496 4095620 4914744 6143430 8191240 9829488 12286860 16382480 24573720 47713973 49147440 95427946 143141919 190855892 238569865 286283838 381711784 477139730 572567676 715709595 763423568 954279460 1145135352 1431419190 1908558920 2290270704 2862838380 3817117840 5725676760 11451353520