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690023735808 = 2931162176569
BaseRepresentation
bin10100000101010001001…
…11101010001000000000
32102222001221101200000120
422002220213222020000
542301132034021213
61244554215220240
7100565300660121
oct12025047521000
92388057350016
10690023735808
11246701456760
12b1893677680
13500b8670434
142557c3a0048
1512e38337423
hexa0a89ea200

690023735808 has 160 divisors (see below), whose sum is σ = 2006009375040. Its totient is φ = 209032642560.

The previous prime is 690023735783. The next prime is 690023735831. The reversal of 690023735808 is 808537320096.

It is a super-2 number, since 2×6900237358082 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105039148 + ... + 105045716.

It is an arithmetic number, because the mean of its divisors is an integer number (12537558594).

Almost surely, 2690023735808 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 690023735808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003004687520).

690023735808 is an abundant number, since it is smaller than the sum of its proper divisors (1315985639232).

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

690023735808 is a wasteful number, since it uses less digits than its factorization.

690023735808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12818 (or 12802 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 690023735808 in words is "six hundred ninety billion, twenty-three million, seven hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 6217 6569 8448 12434 13138 16896 18651 19707 24868 26276 37302 39414 49736 52552 68387 72259 74604 78828 99472 105104 136774 144518 149208 157656 198944 205161 210208 216777 273548 289036 298416 315312 397888 410322 420416 433554 547096 578072 596832 630624 795776 820644 840832 867108 1094192 1156144 1193664 1261248 1591552 1641288 1681664 1734216 2188384 2312288 2387328 2522496 3183104 3282576 3363328 3468432 4376768 4624576 4774656 5044992 6565152 6936864 8753536 9249152 9549312 10089984 13130304 13873728 17507072 18498304 26260608 27747456 35014144 36996608 40839473 52521216 55494912 81678946 105042432 110989824 122518419 163357892 245036838 326715784 449234203 490073676 653431568 898468406 980147352 1306863136 1347702609 1796936812 1960294704 2613726272 2695405218 3593873624 3920589408 5227452544 5390810436 7187747248 7841178816 10454905088 10781620872 14375494496 15682357632 20909810176 21563241744 28750988992 31364715264 43126483488 57501977984 62729430528 86252966976 115003955968 172505933952 230007911936 345011867904 690023735808