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214604355312 = 24332333764091
BaseRepresentation
bin1100011111011101101…
…0101001011011110000
3202111221010221210201000
43013313122221123300
512004002203332222
6242330552042000
721335044631244
oct3076732513360
9674833853630
10214604355312
1183016622536
1235712693300
1317310bc0139
14a55b956424
1558b06859ac
hex31f76a96f0

214604355312 has 160 divisors (see below), whose sum is σ = 644693736960. Its totient is φ = 68220472320.

The previous prime is 214604355269. The next prime is 214604355337. The reversal of 214604355312 is 213553406412.

214604355312 is a `hidden beast` number, since 2 + 1 + 4 + 60 + 43 + 553 + 1 + 2 = 666.

214604355312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3316387 + ... + 3380477.

It is an arithmetic number, because the mean of its divisors is an integer number (4029335856).

Almost surely, 2214604355312 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 214604355312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322346868480).

214604355312 is an abundant number, since it is smaller than the sum of its proper divisors (430089381648).

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

214604355312 is a wasteful number, since it uses less digits than its factorization.

214604355312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64468 (or 64456 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 214604355312 in words is "two hundred fourteen billion, six hundred four million, three hundred fifty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 337 368 414 432 552 621 674 828 1011 1104 1242 1348 1656 2022 2484 2696 3033 3312 4044 4968 5392 6066 7751 8088 9099 9936 12132 15502 16176 18198 23253 24264 31004 36396 46506 48528 62008 64091 69759 72792 93012 124016 128182 139518 145584 186024 192273 209277 256364 279036 372048 384546 418554 512728 558072 576819 769092 837108 1025456 1116144 1153638 1474093 1538184 1674216 1730457 2307276 2948186 3076368 3348432 3460914 4422279 4614552 5896372 6921828 8844558 9229104 11792744 13266837 13843656 17689116 21598667 23585488 26533674 27687312 35378232 39800511 43197334 53067348 64796001 70756464 79601022 86394668 106134696 129592002 159202044 172789336 194388003 212269392 259184004 318404088 345578672 388776006 496769341 518368008 583164009 636808176 777552012 993538682 1036736016 1166328018 1490308023 1555104024 1987077364 2332656036 2980616046 3110208048 3974154728 4470924069 4665312072 5961232092 7948309456 8941848138 9330624144 11922464184 13412772207 17883696276 23844928368 26825544414 35767392552 53651088828 71534785104 107302177656 214604355312