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11413494976 = 2613233491709
BaseRepresentation
bin10101010000100110…
…00001110011000000
31002110102111121201011
422220103001303000
5141333323314401
65124314450304
7552560051362
oct125023016300
932412447634
1011413494976
114927690784
122266433994
1310cb7b2530
147a3b88d32
1546c01b451
hex2a84c1cc0

11413494976 has 112 divisors (see below), whose sum is σ = 25539192000. Its totient is φ = 5021356032.

The previous prime is 11413494973. The next prime is 11413494977. The reversal of 11413494976 is 67949431411.

It is a super-3 number, since 3×114134949763 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11413494973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6677610 + ... + 6679318.

It is an arithmetic number, because the mean of its divisors is an integer number (228028500).

Almost surely, 211413494976 is an apocalyptic number.

11413494976 is a gapful number since it is divisible by the number (16) 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 11413494976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12769596000).

11413494976 is an abundant number, since it is smaller than the sum of its proper divisors (14125697024).

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

11413494976 is a wasteful number, since it uses less digits than its factorization.

11413494976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2096 counting only the distinct ones).

The product of its digits is 653184, while the sum is 49.

The spelling of 11413494976 in words is "eleven billion, four hundred thirteen million, four hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 299 349 368 416 598 698 736 832 1196 1396 1472 1709 2392 2792 3418 4537 4784 5584 6836 8027 9074 9568 11168 13672 16054 18148 19136 22217 22336 27344 32108 36296 39307 44434 54688 64216 72592 78614 88868 104351 109376 128432 145184 157228 177736 208702 256864 290368 314456 355472 417404 510991 513728 596441 628912 710944 834808 1021982 1192882 1257824 1421888 1669616 2043964 2385764 2515648 3339232 4087928 4771528 6678464 7753733 8175856 9543056 13718143 15507466 16351712 19086112 27436286 31014932 32703424 38172224 54872572 62029864 109745144 124059728 178335859 219490288 248119456 356671718 438980576 496238912 713343436 877961152 1426686872 2853373744 5706747488 11413494976