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201532974412 = 227112131454079
BaseRepresentation
bin1011101110110001001…
…1010010010101001100
3201021012011211212001111
42323230103102111030
511300214420140122
6232325531021404
720363114006110
oct2735423222514
9637164755044
10201532974412
1178519123600
1233084b9a864
1316009ab8223
149a7b929740
155397d33d77
hex2eec4d254c

201532974412 has 72 divisors (see below), whose sum is σ = 446422394880. Its totient is φ = 77919784800.

The previous prime is 201532974367. The next prime is 201532974443. The reversal of 201532974412 is 214479235102.

201532974412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216789 + ... + 670867.

It is an arithmetic number, because the mean of its divisors is an integer number (6200311040).

Almost surely, 2201532974412 is an apocalyptic number.

201532974412 is a gapful number since it is divisible by the number (22) 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 201532974412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223211197440).

201532974412 is an abundant number, since it is smaller than the sum of its proper divisors (244889420468).

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

201532974412 is a wasteful number, since it uses less digits than its factorization.

201532974412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454243 (or 454230 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 201532974412 in words is "two hundred one billion, five hundred thirty-two million, nine hundred seventy-four thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 131 154 242 262 308 484 524 847 917 1441 1694 1834 2882 3388 3668 5764 10087 15851 20174 31702 40348 63404 110957 221914 443828 454079 908158 1816316 3178553 4994869 6357106 9989738 12714212 19979476 34964083 54943559 59484349 69928166 109887118 118968698 139856332 219774236 237937396 384604913 416390443 654327839 769209826 832780886 1308655678 1538419652 1665561772 2617311356 4580294873 7197606229 9160589746 14395212458 18321179492 28790424916 50383243603 100766487206 201532974412