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45455004640640 = 275711213904861
BaseRepresentation
bin10100101010111010100010…
…11001111010010110000000
312221221110022102112202200002
422111131101121322112000
521424213322142000030
6240401424005215132
712401005250325530
oct1225352131722600
9187843272482602
1045455004640640
11135353a5123621
1251215991014a8
131c495088319aa
14b320692a34c0
1553c5c7c4d245
hex29575167a580

45455004640640 has 128 divisors (see below), whose sum is σ = 124200779008320. Its totient is φ = 15583165931520.

The previous prime is 45455004640607. The next prime is 45455004640667. The reversal of 45455004640640 is 4604640055454.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49781810 + ... + 50686670.

Almost surely, 245455004640640 is an apocalyptic number.

45455004640640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45455004640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62100389504160).

45455004640640 is an abundant number, since it is smaller than the sum of its proper divisors (78745774367680).

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

45455004640640 is a wasteful number, since it uses less digits than its factorization.

45455004640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916100 (or 916088 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 47.

The spelling of 45455004640640 in words is "forty-five trillion, four hundred fifty-five billion, four million, six hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 11213 22426 44852 56065 78491 89704 112130 156982 179408 224260 313964 358816 392455 448520 627928 717632 784910 897040 904861 1255856 1435264 1569820 1794080 1809722 2511712 3139640 3588160 3619444 4524305 5023424 6279280 6334027 7176320 7238888 9048610 10046848 12558560 12668054 14477776 18097220 25117120 25336108 28955552 31670135 36194440 50234240 50672216 57911104 63340270 72388880 101344432 115822208 126680540 144777760 202688864 253361080 289555520 405377728 506722160 579111040 810755456 1013444320 2026888640 4053777280 10146206393 20292412786 40584825572 50731031965 71023444751 81169651144 101462063930 142046889502 162339302288 202924127860 284093779004 324678604576 355117223755 405848255720 568187558008 649357209152 710234447510 811696511440 1136375116016 1298714418304 1420468895020 1623393022880 2272750232032 2840937790040 3246786045760 4545500464064 5681875580080 6493572091520 9091000928128 11363751160160 22727502320320 45455004640640