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10551665536 = 2717411011171
BaseRepresentation
bin10011101001110110…
…11010001110000000
31000020100211010222021
421310323122032000
5133102211244121
64503010451224
7522323451166
oct116473321600
930210733867
1010551665536
11452515a545
122065893b14
13cc2091a99
14721527236
1541b52e641
hex274eda380

10551665536 has 128 divisors (see below), whose sum is σ = 23045692320. Its totient is φ = 4792320000.

The previous prime is 10551665507. The next prime is 10551665549. The reversal of 10551665536 is 63556615501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105516655362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10551665492 and 10551665501.

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, 9010231 + ... + 9011401.

Almost surely, 210551665536 is an apocalyptic number.

10551665536 is a gapful number since it is divisible by the number (16) 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 10551665536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11522846160).

10551665536 is an abundant number, since it is smaller than the sum of its proper divisors (12494026784).

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

10551665536 is a wasteful number, since it uses less digits than its factorization.

10551665536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 43.

The spelling of 10551665536 in words is "ten billion, five hundred fifty-one million, six hundred sixty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 101 128 136 164 202 272 328 404 544 656 697 808 1088 1171 1312 1394 1616 1717 2176 2342 2624 2788 3232 3434 4141 4684 5248 5576 6464 6868 8282 9368 11152 12928 13736 16564 18736 19907 22304 27472 33128 37472 39814 44608 48011 54944 66256 70397 74944 79628 89216 96022 109888 118271 132512 140794 149888 159256 192044 219776 236542 265024 281588 318512 384088 473084 530048 563176 637024 768176 816187 946168 1126352 1274048 1536352 1632374 1892336 2010607 2252704 2548096 3072704 3264748 3784672 4021214 4505408 4849111 6145408 6529496 7569344 8042428 9010816 9698222 13058992 15138688 16084856 19396444 26117984 32169712 38792888 52235968 64339424 77585776 82434887 104471936 128678848 155171552 164869774 257357696 310343104 329739548 620686208 659479096 1318958192 2637916384 5275832768 10551665536