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11132042304 = 263191401757
BaseRepresentation
bin10100101111000010…
…10111110001000000
31001201210220100020010
422113201113301000
5140244300323204
65040342144520
7542601540555
oct122741276100
931653810203
1011132042304
1147a2825169
1221a8122140
1310853a98a6
14778642a2c
15452472d89
hex297857c40

11132042304 has 112 divisors (see below), whose sum is σ = 29720779776. Its totient is φ = 3677184000.

The previous prime is 11132042287. The next prime is 11132042377. The reversal of 11132042304 is 40324023111.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14705094 + ... + 14705850.

Almost surely, 211132042304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14860389888).

11132042304 is an abundant number, since it is smaller than the sum of its proper divisors (18588737472).

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

11132042304 is a wasteful number, since it uses less digits than its factorization.

11132042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11132042304 its reverse (40324023111), we get a palindrome (51456065415).

The spelling of 11132042304 in words is "eleven billion, one hundred thirty-two million, forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 191 192 382 401 573 757 764 802 1146 1203 1514 1528 1604 2271 2292 2406 3028 3056 3208 4542 4584 4812 6056 6112 6416 9084 9168 9624 12112 12224 12832 18168 18336 19248 24224 25664 36336 36672 38496 48448 72672 76591 76992 144587 145344 153182 229773 289174 303557 306364 433761 459546 578348 607114 612728 867522 910671 919092 1156696 1214228 1225456 1735044 1821342 1838184 2313392 2428456 2450912 3470088 3642684 3676368 4626784 4856912 4901824 6940176 7285368 7352736 9253568 9713824 13880352 14570736 14705472 19427648 27760704 29141472 57979387 58282944 115958774 173938161 231917548 347876322 463835096 695752644 927670192 1391505288 1855340384 2783010576 3710680768 5566021152 11132042304