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3826080206424 = 233472857295237
BaseRepresentation
bin110111101011010100001…
…001101100111001011000
3111112202210002220202220000
4313223110021230321120
51000141303013101144
612045402121133000
7543265556104260
oct67532411547130
914482702822800
103826080206424
1112456a4592583
1251962a62a160
13219a4aa53288
14d327cc707a0
15697d247e769
hex37ad426ce58

3826080206424 has 160 divisors (see below), whose sum is σ = 12251833762080. Its totient is φ = 1092779444736.

The previous prime is 3826080206411. The next prime is 3826080206437. The reversal of 3826080206424 is 4246020806283.

3826080206424 is a `hidden beast` number, since 38 + 2 + 608 + 0 + 2 + 0 + 6 + 4 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3826080206411) and next prime (3826080206437).

It is a self number, because there is not a number n which added to its sum of digits gives 3826080206424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12811734 + ... + 13106970.

It is an arithmetic number, because the mean of its divisors is an integer number (76573961013).

Almost surely, 23826080206424 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 3826080206424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6125916881040).

3826080206424 is an abundant number, since it is smaller than the sum of its proper divisors (8425753555656).

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

3826080206424 is a wasteful number, since it uses less digits than its factorization.

3826080206424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298119 (or 298106 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 3826080206424 in words is "three trillion, eight hundred twenty-six billion, eighty million, two hundred six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 2857 4536 5714 8571 11428 17142 19999 22856 25713 34284 39998 51426 59997 68568 77139 79996 102852 119994 154278 159992 179991 205704 231417 239988 295237 308556 359982 462834 479976 539973 590474 617112 719964 885711 925668 1079946 1180948 1439928 1619919 1771422 1851336 2066659 2159892 2361896 2657133 3239838 3542844 4133318 4319784 5314266 6199977 6479676 7085688 7971399 8266636 10628532 12399954 12959352 15942798 16533272 18599931 21257064 23914197 24799908 31885596 37199862 47828394 49599816 55799793 63771192 74399724 95656788 111599586 148799448 167399379 191313576 223199172 334798758 446398344 669597516 843492109 1339195032 1686984218 2530476327 3373968436 5060952654 5904444763 6747936872 7591428981 10121905308 11808889526 15182857962 17713334289 20243810616 22774286943 23617779052 30365715924 35426668578 45548573886 47235558104 53140002867 60731431848 68322860829 70853337156 91097147772 106280005734 136645721658 141706674312 159420008601 182194295544 212560011468 273291443316 318840017202 425120022936 478260025803 546582886632 637680034404 956520051606 1275360068808 1913040103212 3826080206424