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464545256132472 = 233411709510754091
BaseRepresentation
bin110100110100000000101111…
…0111110010100111101111000
32020220211002111121221210001020
41221220001132332110331320
5441342102141032214342
64324001051114422440
7166564200335504664
oct15150013676247570
92226732447853036
10464545256132472
1112502259a464a39
1244127b96431a20
1316c29578032638
1482a0178ba78a4
1538a8d4c9540ec
hex1a6805ef94f78

464545256132472 has 128 divisors (see below), whose sum is σ = 1190640302611200. Its totient is φ = 150950875622400.

The previous prime is 464545256132467. The next prime is 464545256132479. The reversal of 464545256132472 is 274231652545464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464545256132479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8588190147 + ... + 8588244237.

It is an arithmetic number, because the mean of its divisors is an integer number (9301877364150).

Almost surely, 2464545256132472 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 464545256132472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595320151305600).

464545256132472 is an abundant number, since it is smaller than the sum of its proper divisors (726095046478728).

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

464545256132472 is a wasteful number, since it uses less digits than its factorization.

464545256132472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60957 (or 60953 counting only the distinct ones).

The product of its digits is 193536000, while the sum is 60.

The spelling of 464545256132472 in words is "four hundred sixty-four trillion, five hundred forty-five billion, two hundred fifty-six million, one hundred thirty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 1709 3418 5107 5127 6836 10214 10254 13672 15321 20428 20508 30642 40856 41016 54091 61284 70069 108182 122568 140138 162273 209387 210207 216364 280276 324546 418774 420414 432728 560552 628161 649092 837548 840828 1256322 1298184 1675096 1681656 2217731 2512644 4435462 5025288 6653193 8727863 8870924 13306386 17455726 17741848 26183589 26612772 34911452 52367178 53225544 69822904 92441519 104734356 184883038 209468712 276242737 277324557 357842383 369766076 552485474 554649114 715684766 739532152 828728211 1073527149 1104970948 1109298228 1431369532 1657456422 2147054298 2209941896 2218596456 2862739064 3314912844 3790102279 4294108596 6629825688 7580204558 8588217192 11325952217 11370306837 15160409116 22651904434 22740613674 30320818232 33977856651 45303808868 45481227348 67955713302 90607617736 90962454696 135911426604 271822853208 472098837533 944197675066 1416296512599 1888395350132 2832593025198 3776790700264 5665186050396 11330372100792 19356052338853 38712104677706 58068157016559 77424209355412 116136314033118 154848418710824 232272628066236 464545256132472