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464134742220 = 2235174211080841
BaseRepresentation
bin1101100000100001001…
…01100010000011001100
31122101000100101211202210
412300100211202003030
530101021443222340
6553115350150420
745350456133522
oct6602045420314
91571010354683
10464134742220
11169924a64496
1275b51952410
13349c98a6056
141866dc42312
15c11713a180
hex6c109620cc

464134742220 has 96 divisors (see below), whose sum is σ = 1379292739776. Its totient is φ = 116211916800.

The previous prime is 464134742219. The next prime is 464134742233. The reversal of 464134742220 is 22247431464.

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, 111001 + ... + 969840.

It is an arithmetic number, because the mean of its divisors is an integer number (14367632706).

Almost surely, 2464134742220 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 464134742220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689646369888).

464134742220 is an abundant number, since it is smaller than the sum of its proper divisors (915157997556).

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

464134742220 is a wasteful number, since it uses less digits than its factorization.

464134742220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081291 (or 1081289 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

The spelling of 464134742220 in words is "four hundred sixty-four billion, one hundred thirty-four million, seven hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 421 510 842 1020 1263 1684 2105 2526 4210 5052 6315 7157 8420 12630 14314 21471 25260 28628 35785 42942 71570 85884 107355 143140 214710 429420 1080841 2161682 3242523 4323364 5404205 6485046 10808410 12970092 16212615 18374297 21616820 32425230 36748594 55122891 64850460 73497188 91871485 110245782 183742970 220491564 275614455 367485940 455034061 551228910 910068122 1102457820 1365102183 1820136244 2275170305 2730204366 4550340610 5460408732 6825510915 7735579037 9100681220 13651021830 15471158074 23206737111 27302043660 30942316148 38677895185 46413474222 77355790370 92826948444 116033685555 154711580740 232067371110 464134742220