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10166819841348 = 2232373975202133
BaseRepresentation
bin1001001111110010010110…
…1011110110010101000100
31022222221100011012020101220
42103330211223312111010
52313033121334410343
633342323401120340
72066346162531012
oct223744553662504
938887304166356
1010166819841348
11326a7a682a9a5
1211824934890b0
1358995b29cc11
142721106a38b2
151296e04ae183
hex93f25af6544

10166819841348 has 96 divisors (see below), whose sum is σ = 25351788516096. Its totient is φ = 3164228001792.

The previous prime is 10166819841329. The next prime is 10166819841359. The reversal of 10166819841348 is 84314891866101.

It is a junction number, because it is equal to n+sod(n) for n = 10166819841291 and 10166819841300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646711 + ... + 4555422.

It is an arithmetic number, because the mean of its divisors is an integer number (264081130376).

Almost surely, 210166819841348 is an apocalyptic number.

It is an amenable number.

10166819841348 is an abundant number, since it is smaller than the sum of its proper divisors (15184968674748).

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

10166819841348 is a wasteful number, since it uses less digits than its factorization.

10166819841348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202333 (or 5202331 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 60.

The spelling of 10166819841348 in words is "ten trillion, one hundred sixty-six billion, eight hundred nineteen million, eight hundred forty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 73 92 97 138 146 194 219 276 291 292 388 438 582 876 1164 1679 2231 3358 4462 5037 6693 6716 7081 8924 10074 13386 14162 20148 21243 26772 28324 42486 84972 162863 325726 488589 651452 977178 1954356 5202133 10404266 15606399 20808532 31212798 62425596 119649059 239298118 358947177 379755709 478596236 504606901 717894354 759511418 1009213802 1139267127 1435788708 1513820703 1519022836 2018427604 2278534254 3027641406 4557068508 6055282812 8734381307 11605958723 17468762614 23211917446 26203143921 34817876169 34937525228 36836303773 46423834892 52406287842 69635752338 73672607546 104812575684 110508911319 139271504676 147345215092 221017822638 442035645276 847234986779 1694469973558 2541704960337 3388939947116 5083409920674 10166819841348