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460868528148 = 223729219932783
BaseRepresentation
bin1101011010011011110…
…01111010100000010100
31122001120201102222101020
412231031321322200110
530022324320400043
6551415312001140
745203515565520
oct6551571724024
91561521388336
10460868528148
111684a92a6516
127539bb301b0
13345c8cc2cc2
141844013cd80
15bec550ce83
hex6b4de7a814

460868528148 has 144 divisors (see below), whose sum is σ = 1279257907200. Its totient is φ = 126493411968.

The previous prime is 460868528143. The next prime is 460868528161. The reversal of 460868528148 is 841825868064.

It is a super-3 number, since 3×4608685281483 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 460868528091 and 460868528100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460868528143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14041765 + ... + 14074547.

Almost surely, 2460868528148 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 460868528148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639628953600).

460868528148 is an abundant number, since it is smaller than the sum of its proper divisors (818389379052).

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

460868528148 is a wasteful number, since it uses less digits than its factorization.

460868528148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33054 (or 33023 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 60.

The spelling of 460868528148 in words is "four hundred sixty billion, eight hundred sixty-eight million, five hundred twenty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 199 203 348 398 406 597 609 796 812 841 1194 1218 1393 1682 2388 2436 2523 2786 3364 4179 5046 5572 5771 5887 8358 10092 11542 11774 16716 17313 17661 23084 23548 32783 34626 35322 40397 65566 69252 70644 80794 98349 121191 131132 161588 167359 196698 229481 242382 334718 393396 458962 484764 502077 669436 688443 917924 950707 1004154 1171513 1376886 1901414 2008308 2343026 2753772 2852121 3514539 3802828 4686052 5704242 6523817 6654949 7029078 11408484 13047634 13309898 14058156 19571451 19964847 26095268 26619796 27570503 39142902 39929694 45666719 55141006 78285804 79859388 82711509 91333438 110282012 137000157 165423018 182666876 189190693 192993521 274000314 330846036 378381386 385987042 548000628 567572079 578980563 756762772 771974084 1135144158 1157961126 1324334851 2270288316 2315922252 2648669702 3973004553 5297339404 5486530097 7946009106 10973060194 15892018212 16459590291 21946120388 32919180582 38405710679 65838361164 76811421358 115217132037 153622842716 230434264074 460868528148