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11552313408 = 2632322311731
BaseRepresentation
bin10101100001001001…
…00101000001000000
31002211002201022210120
422300210211001000
5142124343012113
65150154100240
7556164021006
oct126044450100
932732638716
1011552313408
114998a86059
1222a4a1a680
131121497b0c
147b83a2a76
154792dca23
hex2b0925040

11552313408 has 112 divisors (see below), whose sum is σ = 32040185856. Its totient is φ = 3666516480.

The previous prime is 11552313397. The next prime is 11552313427. The reversal of 11552313408 is 80431325511.

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, 978903 + ... + 990633.

It is an arithmetic number, because the mean of its divisors is an integer number (286073088).

Almost surely, 211552313408 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 11552313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16020092928).

11552313408 is an abundant number, since it is smaller than the sum of its proper divisors (20487872448).

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

11552313408 is a wasteful number, since it uses less digits than its factorization.

11552313408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11992 (or 11982 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 11552313408 its reverse (80431325511), we get a palindrome (91983638919).

The spelling of 11552313408 in words is "eleven billion, five hundred fifty-two million, three hundred thirteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 223 276 368 446 552 669 736 892 1104 1338 1472 1784 2208 2676 3568 4416 5129 5352 7136 10258 10704 11731 14272 15387 20516 21408 23462 30774 35193 41032 42816 46924 61548 70386 82064 93848 123096 140772 164128 187696 246192 269813 281544 328256 375392 492384 539626 563088 750784 809439 984768 1079252 1126176 1618878 2158504 2252352 2616013 3237756 4317008 5232026 6475512 7848039 8634016 10464052 12951024 15696078 17268032 20928104 25902048 31392156 41856208 51804096 60168299 62784312 83712416 120336598 125568624 167424832 180504897 240673196 251137248 361009794 481346392 502274496 722019588 962692784 1444039176 1925385568 2888078352 3850771136 5776156704 11552313408