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84469460000 = 255429145637
BaseRepresentation
bin100111010101011000…
…1011010110000100000
322002000211012011111112
41032222301122300200
52340443140210000
6102445453402452
76050142364142
oct1165261326040
9262024164445
1084469460000
1132906898582
1214454799428
137c720a78c3
1441345b4c92
1522e5a78235
hex13aac5ac20

84469460000 has 120 divisors (see below), whose sum is σ = 214974795420. Its totient is φ = 32622464000.

The previous prime is 84469459993. The next prime is 84469460027. The reversal of 84469460000 is 6496448.

It can be written as a sum of positive squares in 10 ways, for example, as 8079133456 + 76390326544 = 89884^2 + 276388^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 84469460000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 507182 + ... + 652818.

Almost surely, 284469460000 is an apocalyptic number.

84469460000 is a gapful number since it is divisible by the number (80) 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 84469460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107487397710).

84469460000 is an abundant number, since it is smaller than the sum of its proper divisors (130505335420).

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

84469460000 is a wasteful number, since it uses less digits than its factorization.

84469460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145696 (or 145673 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 84469460000 in words is "eighty-four billion, four hundred sixty-nine million, four hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 2000 2320 2500 2900 3625 4000 4640 5000 5800 7250 10000 11600 14500 18125 20000 23200 29000 36250 58000 72500 116000 145000 145637 290000 291274 580000 582548 728185 1165096 1456370 2330192 2912740 3640925 4223473 4660384 5825480 7281850 8446946 11650960 14563700 16893892 18204625 21117365 23301920 29127400 33787784 36409250 42234730 58254800 67575568 72818500 84469460 91023125 105586825 116509600 135151136 145637000 168938920 182046250 211173650 291274000 337877840 364092500 422347300 527934125 582548000 675755680 728185000 844694600 1055868250 1456370000 1689389200 2111736500 2639670625 2912740000 3378778400 4223473000 5279341250 8446946000 10558682500 16893892000 21117365000 42234730000 84469460000