Search a number
-
+
10999551816 = 2334117321139
BaseRepresentation
bin10100011111001111…
…11101011101001000
31001101120121010110000
422033213331131020
5140011341124231
65015250323000
7536402435121
oct121747753510
931346533400
1010999551816
114734a620a0
12216b889460
131063acb656
14764bd5048
15445a016e6
hex28f9fd748

10999551816 has 160 divisors (see below), whose sum is σ = 34071760800. Its totient is φ = 3287381760.

The previous prime is 10999551793. The next prime is 10999551817. The reversal of 10999551816 is 61815599901.

10999551816 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 9 + 551 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10999551817) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 509775 + ... + 530913.

It is an arithmetic number, because the mean of its divisors is an integer number (212948505).

Almost surely, 210999551816 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 10999551816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17035880400).

10999551816 is an abundant number, since it is smaller than the sum of its proper divisors (23072208984).

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

10999551816 is a wasteful number, since it uses less digits than its factorization.

10999551816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21241 (or 21228 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 54.

The spelling of 10999551816 in words is "ten billion, nine hundred ninety-nine million, five hundred fifty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 73 81 88 99 108 132 146 162 198 216 219 264 292 297 324 396 438 584 594 648 657 792 803 876 891 1188 1314 1606 1752 1782 1971 2376 2409 2628 3212 3564 3942 4818 5256 5913 6424 7128 7227 7884 9636 11826 14454 15768 19272 21139 21681 23652 28908 42278 43362 47304 57816 63417 65043 84556 86724 126834 130086 169112 173448 190251 232529 253668 260172 380502 465058 507336 520344 570753 697587 761004 930116 1141506 1395174 1522008 1543147 1712259 1860232 2092761 2283012 2790348 3086294 3424518 4185522 4566024 4629441 5580696 6172588 6278283 6849036 8371044 9258882 12345176 12556566 13698072 13888323 16742088 16974617 18517764 18834849 25113132 27776646 33949234 37035528 37669698 41664969 50226264 50923851 55553292 67898468 75339396 83329938 101847702 111106584 124994907 135796936 150678792 152771553 166659876 203695404 249989814 305543106 333319752 407390808 458314659 499979628 611086212 916629318 999959256 1222172424 1374943977 1833258636 2749887954 3666517272 5499775908 10999551816