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464553635320134 = 233794331697148199
BaseRepresentation
bin110100110100000100101001…
…0011010011001000101000110
32020220211220010120212121122000
41221220021102122121011012
5441342221321120221014
64324004554401450130
7166564615102435353
oct15150112232310506
92226756116777560
10464553635320134
111250260aa282718
1244129734640946
1316c2a2b1caac49
1482a073197962a
1538a918d3a1509
hex1a68252699146

464553635320134 has 128 divisors (see below), whose sum is σ = 1048447895040000. Its totient is φ = 152447057178624.

The previous prime is 464553635320057. The next prime is 464553635320153. The reversal of 464553635320134 is 431023536355464.

It is a happy number.

464553635320134 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 53 + 6 + 353 + 201 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3134586967 + ... + 3134735165.

It is an arithmetic number, because the mean of its divisors is an integer number (8190999180000).

Almost surely, 2464553635320134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464553635320134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524223947520000).

464553635320134 is an abundant number, since it is smaller than the sum of its proper divisors (583894259719866).

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

464553635320134 is a wasteful number, since it uses less digits than its factorization.

464553635320134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150419 (or 150413 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 54.

The spelling of 464553635320134 in words is "four hundred sixty-four trillion, five hundred fifty-three billion, six hundred thirty-five million, three hundred twenty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 433 474 711 866 1299 1422 1697 2133 2598 3394 3897 4266 5091 7794 10182 11691 15273 23382 30546 34207 45819 68414 91638 102621 134063 148199 205242 268126 296398 307863 402189 444597 615726 734801 804378 889194 923589 1206567 1333791 1469602 1847178 2204403 2413134 2667582 3619701 4001373 4408806 6613209 7239402 8002746 11707721 13226418 19839627 23415442 35123163 39679254 58049279 64170167 70246326 105369489 116098558 128340334 174147837 192510501 210738978 251493703 316108467 348295674 385021002 502987406 522443511 577531503 632216934 754481109 1044887022 1155063006 1508962218 1567330533 1732594509 2263443327 3134661066 3465189018 4526886654 5069443193 6790329981 10138886386 13580659962 15208329579 19868002537 30416659158 39736005074 45624988737 59604007611 91249977474 108896773399 119208015222 136874966211 178812022833 217793546798 273749932422 326690320197 357624045666 536436068499 653380640394 980070960591 1072872136998 1960141921182 2940212881773 5880425763546 8602845098521 17205690197042 25808535295563 51617070591126 77425605886689 154851211773378 232276817660067 464553635320134