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11042378464 = 2513412712389
BaseRepresentation
bin10100100100010110…
…10101001011100000
31001111120011221120011
422102023111023200
5140103322102324
65023420254304
7540432445135
oct122213251340
931446157504
1011042378464
114757153417
1221820a1394
13106c944970
1476a78258c
15449660c94
hex2922d52e0

11042378464 has 96 divisors (see below), whose sum is σ = 24081563520. Its totient is φ = 4951756800.

The previous prime is 11042378449. The next prime is 11042378489. The reversal of 11042378464 is 46487324011.

It is a congruent number.

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, 4620982 + ... + 4623370.

It is an arithmetic number, because the mean of its divisors is an integer number (250849620).

Almost surely, 211042378464 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 11042378464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12040781760).

11042378464 is an abundant number, since it is smaller than the sum of its proper divisors (13039185056).

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

11042378464 is a wasteful number, since it uses less digits than its factorization.

11042378464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 11042378464 in words is "eleven billion, forty-two million, three hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 271 328 416 533 542 656 1066 1084 1312 2132 2168 2389 3523 4264 4336 4778 7046 8528 8672 9556 11111 14092 17056 19112 22222 28184 31057 38224 44444 56368 62114 76448 88888 97949 112736 124228 144443 177776 195898 248456 288886 355552 391796 496912 577772 647419 783592 993824 1155544 1273337 1294838 1567184 2311088 2546674 2589676 3134368 4622176 5093348 5179352 8416447 10186696 10358704 16832894 20373392 20717408 26544179 33665788 40746784 53088358 67331576 106176716 134663152 212353432 269326304 345074327 424706864 690148654 849413728 1380297308 2760594616 5521189232 11042378464