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464421474350430 = 235611663283753791
BaseRepresentation
bin110100110011000111000110…
…1000000010011010101011110
32020220101021000001200201212020
41221212032031000103111132
5441333040134413203210
64323424140245321010
7166552226035640652
oct15146161500232536
92226337001621766
10464421474350430
11124a8504a912013
1244107bb0106166
1316c1a9ac4bc11c
1482981954b2a62
1538a5a05980770
hex1a6638d01355e

464421474350430 has 128 divisors (see below), whose sum is σ = 1133985733410816. Its totient is φ = 121697043494400.

The previous prime is 464421474350429. The next prime is 464421474350479. The reversal of 464421474350430 is 34053474124464.

It is a super-2 number, since 2×4644214743504302 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8633786835 + ... + 8633840625.

It is an arithmetic number, because the mean of its divisors is an integer number (8859263542272).

Almost surely, 2464421474350430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464421474350430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566992866705408).

464421474350430 is an abundant number, since it is smaller than the sum of its proper divisors (669564259060386).

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

464421474350430 is a wasteful number, since it uses less digits than its factorization.

464421474350430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58362.

The product of its (nonzero) digits is 15482880, while the sum is 51.

The spelling of 464421474350430 in words is "four hundred sixty-four trillion, four hundred twenty-one billion, four hundred seventy-four million, three hundred fifty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1663 1830 2837 3326 4989 5674 8315 8511 9978 14185 16630 17022 24945 28370 42555 49890 53791 85110 101443 107582 161373 173057 202886 268955 304329 322746 346114 507215 519171 537910 608658 806865 865285 1014430 1038342 1521645 1613730 1730570 2595855 3043290 3281251 4717931 5191710 6562502 9435862 9843753 14153793 16406255 19687506 23589655 28307586 32812510 47179310 49218765 70768965 89454433 98437530 141537930 152605067 178908866 268363299 287793791 305210134 447272165 457815201 536726598 575587582 763025335 863381373 894544330 915630402 1341816495 1438968955 1526050670 1726762746 2289076005 2683632990 2877937910 4316906865 4578152010 5456720413 8633813730 9308909087 10913440826 16370161239 18617818174 27283602065 27926727261 32740322478 46544545435 54567204130 55853454522 81850806195 93089090870 139633636305 163701612390 253782226421 279267272610 507564452842 761346679263 1268911132105 1522693358526 2537822264210 3806733396315 7613466792630 15480715811681 30961431623362 46442147435043 77403579058405 92884294870086 154807158116810 232210737175215 464421474350430