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11771609904 = 2433196732131
BaseRepresentation
bin10101111011010010…
…01000001100110000
31010101101100202001000
422331221020030300
5143102013004104
65224030242000
7564466014255
oct127551101460
933341322030
1011771609904
114aa084882a
122346356300
131157a4a262
147d956942c
1548d6a9639
hex2bda48330

11771609904 has 160 divisors (see below), whose sum is σ = 35636806400. Its totient is φ = 3710085120.

The previous prime is 11771609873. The next prime is 11771609911. The reversal of 11771609904 is 40990617711.

It is a self number, because there is not a number n which added to its sum of digits gives 11771609904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5522919 + ... + 5525049.

It is an arithmetic number, because the mean of its divisors is an integer number (222730040).

Almost surely, 211771609904 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 11771609904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818403200).

11771609904 is an abundant number, since it is smaller than the sum of its proper divisors (23865196496).

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

11771609904 is a wasteful number, since it uses less digits than its factorization.

11771609904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 11771609904 in words is "eleven billion, seven hundred seventy-one million, six hundred nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 673 684 912 1026 1346 1368 2019 2052 2131 2692 2736 4038 4104 4262 5384 6057 6393 8076 8208 8524 10768 12114 12786 12787 16152 17048 18171 19179 24228 25572 25574 32304 34096 36342 38358 38361 40489 48456 51144 51148 57537 72684 76716 76722 80978 96912 102288 102296 115074 115083 121467 145368 153432 153444 161956 204592 230148 230166 242934 290736 306864 306888 323912 345249 364401 460296 460332 485868 613776 647824 690498 728802 920592 920664 971736 1093203 1380996 1434163 1457604 1841328 1943472 2186406 2761992 2868326 2915208 4302489 4372812 5523984 5736652 5830416 8604978 8745624 11473304 12907467 17209956 17491248 22946608 25814934 27249097 34419912 38722401 51629868 54498194 68839824 77444802 81747291 103259736 108996388 154889604 163494582 206519472 217992776 245241873 309779208 326989164 435985552 490483746 619558416 653978328 735725619 980967492 1307956656 1471451238 1961934984 2942902476 3923869968 5885804952 11771609904