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421758508416 = 27371011553507
BaseRepresentation
bin1100010001100101100…
…01000001110110000000
31111022122002001010021220
412020302301001312000
523402230134232131
6521430404315040
742320366112420
oct6106261016600
91438562033256
10421758508416
11152959756863
12698a60a2a80
1330a054395ab
14165adc40480
15ae86c23e96
hex6232c41d80

421758508416 has 128 divisors (see below), whose sum is σ = 1293015778560. Its totient is φ = 119309260800.

The previous prime is 421758508411. The next prime is 421758508417. The reversal of 421758508416 is 614805857124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421758508411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505266 + ... + 1048241.

It is an arithmetic number, because the mean of its divisors is an integer number (10101685770).

Almost surely, 2421758508416 is an apocalyptic number.

It is an amenable number.

421758508416 is an abundant number, since it is smaller than the sum of its proper divisors (871257270144).

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

421758508416 is a wasteful number, since it uses less digits than its factorization.

421758508416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553632 (or 1553620 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 421758508416 in words is "four hundred twenty-one billion, seven hundred fifty-eight million, five hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 128 168 192 202 224 303 336 384 404 448 606 672 707 808 896 1212 1344 1414 1616 2121 2424 2688 2828 3232 4242 4848 5656 6464 8484 9696 11312 12928 16968 19392 22624 33936 38784 45248 67872 90496 135744 271488 1553507 3107014 4660521 6214028 9321042 10874549 12428056 18642084 21749098 24856112 32623647 37284168 43498196 49712224 65247294 74568336 86996392 99424448 130494588 149136672 156904207 173992784 198848896 260989176 298273344 313808414 347985568 470712621 521978352 596546688 627616828 695971136 941425242 1043956704 1098329449 1255233656 1391942272 1882850484 2087913408 2196658898 2510467312 3294988347 3765700968 4175826816 4393317796 5020934624 6589976694 7531401936 8786635592 10041869248 13179953388 15062803872 17573271184 20083738496 26359906776 30125607744 35146542368 52719813552 60251215488 70293084736 105439627104 140586169472 210879254208 421758508416