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10434620545044 = 223171091423329773
BaseRepresentation
bin1001011111010111111111…
…0110011101100000010100
31100221112120122110112102020
42113311333312131200110
52331430100324420134
634105333135413140
72124606424126053
oct227657766354024
940845518415366
1010434620545044
1133633302a4313
1212063713841b0
135a8c991c0477
1428107726439a
15131665e15b49
hex97d7fd9d814

10434620545044 has 96 divisors (see below), whose sum is σ = 26034522877440. Its totient is φ = 3241284139008.

The previous prime is 10434620545021. The next prime is 10434620545051. The reversal of 10434620545044 is 44054502643401.

It is a junction number, because it is equal to n+sod(n) for n = 10434620544987 and 10434620545005.

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, 31476942 + ... + 31806714.

It is an arithmetic number, because the mean of its divisors is an integer number (271192946640).

Almost surely, 210434620545044 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 10434620545044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13017261438720).

10434620545044 is an abundant number, since it is smaller than the sum of its proper divisors (15599902332396).

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

10434620545044 is a wasteful number, since it uses less digits than its factorization.

10434620545044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331329 (or 331327 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 10434620545044 in words is "ten trillion, four hundred thirty-four billion, six hundred twenty million, five hundred forty-five thousand, forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 109 204 218 327 436 654 1308 1423 1853 2846 3706 4269 5559 5692 7412 8538 11118 17076 22236 24191 48382 72573 96764 145146 155107 290292 310214 329773 465321 620428 659546 930642 989319 1319092 1861284 1978638 2636819 3957276 5273638 5606141 7910457 10547276 11212282 15820914 16818423 22424564 31641828 33636846 35945257 67273692 71890514 107835771 143781028 215671542 431343084 469266979 611069369 938533958 1222138738 1407800937 1833208107 1877067916 2444277476 2815601874 3666416214 5631203748 7332832428 7977538643 15955077286 23932615929 31910154572 47865231858 51150100711 95730463716 102300201422 153450302133 204600402844 306900604266 613801208532 869551712087 1739103424174 2608655136261 3478206848348 5217310272522 10434620545044