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920440488408 = 233719760737907
BaseRepresentation
bin11010110010011101000…
…01110100000111011000
310020222211002011110222120
431121032201310013120
5110040030231112113
61542502230021240
7123333242030130
oct15311641640730
93228732143876
10920440488408
113253a1729321
1212a4797a7820
1368a494b026c
1432799db1ac0
1518e21ca7a23
hexd64e8741d8

920440488408 has 128 divisors (see below), whose sum is σ = 2768679014400. Its totient is φ = 249102463104.

The previous prime is 920440488353. The next prime is 920440488467. The reversal of 920440488408 is 804884044029.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24262591 + ... + 24300497.

It is an arithmetic number, because the mean of its divisors is an integer number (21630304800).

Almost surely, 2920440488408 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 920440488408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384339507200).

920440488408 is an abundant number, since it is smaller than the sum of its proper divisors (1848238525992).

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

920440488408 is a wasteful number, since it uses less digits than its factorization.

920440488408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45549 (or 45545 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 920440488408 in words is "nine hundred twenty billion, four hundred forty million, four hundred eighty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 7607 15214 22821 30428 37907 45642 53249 60856 75814 91284 106498 113721 144533 151628 159747 182568 212996 227442 265349 289066 303256 319494 425992 433599 454884 530698 578132 638988 720233 796047 867198 909768 1011731 1061396 1156264 1277976 1440466 1592094 1734396 2023462 2122792 2160699 2880932 3035193 3184188 3468792 4046924 4321398 5041631 5761864 6070386 6368376 8093848 8642796 10083262 12140772 15124893 17285592 20166524 24281544 30249786 40333048 60499572 120999144 288358549 576717098 865075647 1153434196 1730151294 2018509843 2306868392 3460302588 4037019686 5478812431 6055529529 6920605176 8074039372 10957624862 12111059058 16148078744 16436437293 21915249724 24222118116 32872874586 38351687017 43830499448 48444236232 65745749172 76703374034 115055061051 131491498344 153406748068 230110122102 306813496136 460220244204 920440488408