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11253501252 = 2232745619791
BaseRepresentation
bin10100111101100001…
…01100110101000100
31002001021110002120200
422132300230311010
5141021344020002
65100401330500
7545605116360
oct123660546504
932037402520
1011253501252
114855343064
122220936a30
1310a45c48a6
1478a81c2a0
1545ce65b1c
hex29ec2cd44

11253501252 has 72 divisors (see below), whose sum is σ = 32520563712. Its totient is φ = 3214252800.

The previous prime is 11253501251. The next prime is 11253501277. The reversal of 11253501252 is 25210535211.

11253501252 is a `hidden beast` number, since 1 + 1 + 2 + 535 + 0 + 125 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (11253501251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1144477 + ... + 1154267.

It is an arithmetic number, because the mean of its divisors is an integer number (451674496).

Almost surely, 211253501252 is an apocalyptic number.

11253501252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11253501252 is an abundant number, since it is smaller than the sum of its proper divisors (21267062460).

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

11253501252 is a wasteful number, since it uses less digits than its factorization.

11253501252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14369 (or 14364 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 11253501252 in words is "eleven billion, two hundred fifty-three million, five hundred one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4561 9122 9791 13683 18244 19582 27366 29373 31927 39164 41049 54732 58746 63854 68537 82098 88119 95781 117492 127708 137074 164196 176238 191562 205611 274148 287343 352476 383124 411222 574686 616833 822444 1149372 1233666 2467332 44656751 89313502 133970253 178627004 267940506 312597257 401910759 535881012 625194514 803821518 937791771 1250389028 1607643036 1875583542 2813375313 3751167084 5626750626 11253501252