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2158799403776 = 28471972633463
BaseRepresentation
bin11111011010100010011…
…110001011101100000000
321122101020102221101120012
4133122202132023230000
5240332210121410101
64331423323204052
7311653030110521
oct37324236135400
97571212841505
102158799403776
117625a5a90264
122aa481676628
1312875cb5b312
14766b4b5a848
153b24e362bbb
hex1f6a278bb00

2158799403776 has 144 divisors (see below), whose sum is σ = 4441290061824. Its totient is φ = 1046772314112.

The previous prime is 2158799403773. The next prime is 2158799403781. The reversal of 2158799403776 is 6773049978512.

It is a happy number.

It is a super-2 number, since 2×21587994037762 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2158799403773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623388221 + ... + 623391683.

It is an arithmetic number, because the mean of its divisors is an integer number (30842292096).

It is a 1-persistent number, because it is pandigital, but 2⋅2158799403776 = 4317598807552 is not.

Almost surely, 22158799403776 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 2158799403776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220645030912).

2158799403776 is an abundant number, since it is smaller than the sum of its proper divisors (2282490658048).

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

2158799403776 is a wasteful number, since it uses less digits than its factorization.

2158799403776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 68.

The spelling of 2158799403776 in words is "two trillion, one hundred fifty-eight billion, seven hundred ninety-nine million, four hundred three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 197 256 263 376 394 526 752 788 1052 1504 1576 2104 3008 3152 3463 4208 6016 6304 6926 8416 9259 12032 12361 12608 13852 16832 18518 24722 25216 27704 33664 37036 49444 50432 51811 55408 67328 74072 98888 103622 110816 148144 162761 197776 207244 221632 296288 325522 395552 414488 443264 592576 651044 682211 791104 828976 886528 910769 1185152 1302088 1364422 1582208 1657952 1821538 2370304 2435117 2604176 2728844 3164416 3315904 3643076 4870234 5208352 5457688 6631808 7286152 9740468 10416704 10915376 13263616 14572304 19480936 20833408 21830752 29144608 32063917 38961872 41666816 42806143 43661504 58289216 64127834 77923744 85612286 87323008 116578432 128255668 155847488 171224572 174646016 179421493 233156864 256511336 311694976 342449144 358842986 513022672 623389952 684898288 717685972 1026045344 1369796576 1435371944 2052090688 2739593152 2870743888 4104181376 5479186304 5741487776 8208362752 8432810171 10958372608 11482975552 16865620342 22965951104 33731240684 45931902208 67462481368 134924962736 269849925472 539699850944 1079399701888 2158799403776