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464522266242304 = 2873225111104203
BaseRepresentation
bin110100110011110110000010…
…0101010110110110100000000
32020220201220011102102100112121
41221213230010222312310000
5441341213100124223204
64323542325541334024
7166562424536613064
oct15147540452666400
92226656142370477
10464522266242304
11125013872250206
124412363b107314
1316c273530a302a
14829cdd778baa4
1538a845448eb54
hex1a67b04ab6d00

464522266242304 has 72 divisors (see below), whose sum is σ = 939974378700672. Its totient is φ = 229069089976320.

The previous prime is 464522266242263. The next prime is 464522266242329. The reversal of 464522266242304 is 403242662225464.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420133467 + ... + 421237669.

It is an arithmetic number, because the mean of its divisors is an integer number (13055199704176).

Almost surely, 2464522266242304 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 464522266242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469987189350336).

464522266242304 is an abundant number, since it is smaller than the sum of its proper divisors (475452112458368).

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

464522266242304 is a wasteful number, since it uses less digits than its factorization.

464522266242304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126803 (or 1126789 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 52.

The spelling of 464522266242304 in words is "four hundred sixty-four trillion, five hundred twenty-two billion, two hundred sixty-six million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 584 1168 2336 4672 9344 18688 22511 45022 90044 180088 360176 720352 1104203 1440704 1643303 2208406 2881408 3286606 4416812 5762816 6573212 8833624 13146424 17667248 26292848 35334496 52585696 70668992 80606819 105171392 141337984 161213638 210342784 282675968 322427276 420685568 644854552 1289709104 2579418208 5158836416 10317672832 20635345664 24856713733 49713427466 99426854932 198853709864 397707419728 795414839456 1590829678912 1814540102509 3181659357824 3629080205018 6363318715648 7258160410036 14516320820072 29032641640144 58065283280288 116130566560576 232261133121152 464522266242304