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11200719552 = 2631117311963
BaseRepresentation
bin10100110111001110…
…10110101011000000
31001220121010111200220
422123213112223000
5140414341011202
65051234143040
7544364355021
oct123347265300
931817114626
1011200719552
114828572420
122207121a80
1310966a4309
147837dcc48
154584dbabc
hex29b9d6ac0

11200719552 has 112 divisors (see below), whose sum is σ = 34231185792. Its totient is φ = 3194490880.

The previous prime is 11200719547. The next prime is 11200719581. The reversal of 11200719552 is 25591700211.

11200719552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112007195522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120078 + ... + 191885.

Almost surely, 211200719552 is an apocalyptic number.

11200719552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11200719552 is an abundant number, since it is smaller than the sum of its proper divisors (23030466240).

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

11200719552 is a wasteful number, since it uses less digits than its factorization.

11200719552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312006 (or 311996 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 33.

The spelling of 11200719552 in words is "eleven billion, two hundred million, seven hundred nineteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 132 136 176 187 192 204 264 272 352 374 408 528 544 561 704 748 816 1056 1088 1122 1496 1632 2112 2244 2992 3264 4488 5984 8976 11968 17952 35904 311963 623926 935889 1247852 1871778 2495704 3431593 3743556 4991408 5303371 6863186 7487112 9982816 10294779 10606742 13726372 14974224 15910113 19965632 20589558 21213484 27452744 29948448 31820226 41179116 42426968 54905488 58337081 59896896 63640452 82358232 84853936 109810976 116674162 127280904 164716464 169707872 175011243 219621952 233348324 254561808 329432928 339415744 350022486 466696648 509123616 658865856 700044972 933393296 1018247232 1400089944 1866786592 2800179888 3733573184 5600359776 11200719552