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690063864408 = 23341768239181
BaseRepresentation
bin10100000101010110000…
…00101111001001011000
32102222011201220102010000
422002223000233021120
542301222322130113
61245002211253000
7100566266032122
oct12025300571130
92388151812100
10690063864408
11246722074996
12b18a4baa160
13500c3a80679
1425583848212
1512e3bb12373
hexa0ab02f258

690063864408 has 160 divisors (see below), whose sum is σ = 2047035814560. Its totient is φ = 216435317760.

The previous prime is 690063864361. The next prime is 690063864409. The reversal of 690063864408 is 804468360096.

690063864408 is a `hidden beast` number, since 69 + 0 + 0 + 63 + 86 + 440 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690063864409) 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, 75157578 + ... + 75166758.

It is an arithmetic number, because the mean of its divisors is an integer number (12793973841).

Almost surely, 2690063864408 is an apocalyptic number.

690063864408 is a gapful number since it is divisible by the number (68) 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 690063864408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023517907280).

690063864408 is an abundant number, since it is smaller than the sum of its proper divisors (1356971950152).

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

690063864408 is a wasteful number, since it uses less digits than its factorization.

690063864408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16039 (or 16026 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 690063864408 in words is "six hundred ninety billion, sixty-three million, eight hundred sixty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 6823 9181 11016 13646 18362 20469 27292 27543 36724 40938 54584 55086 61407 73448 81876 82629 110172 115991 122814 156077 163752 165258 184221 220344 231982 245628 247887 312154 330516 347973 368442 463964 468231 491256 495774 552663 624308 661032 695946 736884 743661 927928 936462 991548 1043919 1105326 1248616 1391892 1404693 1473768 1487322 1872924 1983096 2087838 2210652 2783784 2809386 2974644 3131757 3745848 4175676 4214079 4421304 5618772 5949288 6263514 8351352 8428158 9395271 11237544 12527028 12642237 16856316 18790542 25054056 25284474 33712632 37581084 50568948 62641963 75162168 101137896 125283926 187925889 250567852 375851778 501135704 563777667 751703556 1064913371 1127555334 1503407112 1691333001 2129826742 2255110668 3194740113 3382666002 4259653484 4510221336 5073999003 6389480226 6765332004 8519306968 9584220339 10147998006 12778960452 13530664008 19168440678 20295996012 25557920904 28752661017 38336881356 40591992024 57505322034 76673762712 86257983051 115010644068 172515966102 230021288136 345031932204 690063864408