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11219801472 = 273211280491
BaseRepresentation
bin10100111001100000…
…01001010110000000
31001221221000222011200
422130300021112000
5140434232121342
65053155141200
7545015511315
oct123460112600
931857028150
1011219801472
114838315a00
1222115a4800
13109a6258a9
14786168d0c
1545a00a94c
hex29cc09580

11219801472 has 144 divisors (see below), whose sum is σ = 35488520340. Its totient is φ = 3399897600.

The previous prime is 11219801447. The next prime is 11219801477. The reversal of 11219801472 is 27410891211.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11219801477) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 99147 + ... + 179637.

Almost surely, 211219801472 is an apocalyptic number.

11219801472 is a gapful number since it is divisible by the number (12) 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 11219801472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17744260170).

11219801472 is an abundant number, since it is smaller than the sum of its proper divisors (24268718868).

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

11219801472 is a wasteful number, since it uses less digits than its factorization.

11219801472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80533 (or 80507 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 11219801472 in words is "eleven billion, two hundred nineteen million, eight hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 264 288 352 363 384 396 484 528 576 704 726 792 968 1056 1089 1152 1408 1452 1584 1936 2112 2178 2904 3168 3872 4224 4356 5808 6336 7744 8712 11616 12672 15488 17424 23232 34848 46464 69696 80491 139392 160982 241473 321964 482946 643928 724419 885401 965892 1287856 1448838 1770802 1931784 2575712 2656203 2897676 3541604 3863568 5151424 5312406 5795352 7083208 7727136 7968609 9739411 10302848 10624812 11590704 14166416 15454272 15937218 19478822 21249624 23181408 28332832 29218233 30908544 31874436 38957644 42499248 46362816 56665664 58436466 63748872 77915288 84998496 87654699 92725632 113331328 116872932 127497744 155830576 169996992 175309398 233745864 254995488 311661152 339993984 350618796 467491728 509990976 623322304 701237592 934983456 1019981952 1246644608 1402475184 1869966912 2804950368 3739933824 5609900736 11219801472