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420876208704 = 2637499627559
BaseRepresentation
bin1100001111111100010…
…11010100101001000000
31111020100120211122121210
412013332023110221000
523343423302134304
6521203045450120
742256463514150
oct6077613245100
91436316748553
10420876208704
11152546713a46
126969a710940
13308c46cc663
14165289b0760
15ae34541c89
hex61fe2d4a40

420876208704 has 112 divisors (see below), whose sum is σ = 1275201920000. Its totient is φ = 120009171456.

The previous prime is 420876208693. The next prime is 420876208723. The reversal of 420876208704 is 407802678024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356877 + ... + 984435.

Almost surely, 2420876208704 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 420876208704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637600960000).

420876208704 is an abundant number, since it is smaller than the sum of its proper divisors (854325711296).

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

420876208704 is a wasteful number, since it uses less digits than its factorization.

420876208704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628080 (or 628070 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 420876208704 in words is "four hundred twenty billion, eight hundred seventy-six million, two hundred eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 499 672 998 1344 1497 1996 2994 3493 3992 5988 6986 7984 10479 11976 13972 15968 20958 23952 27944 31936 41916 47904 55888 83832 95808 111776 167664 223552 335328 627559 670656 1255118 1882677 2510236 3765354 4392913 5020472 7530708 8785826 10040944 13178739 15061416 17571652 20081888 26357478 30122832 35143304 40163776 52714956 60245664 70286608 105429912 120491328 140573216 210859824 281146432 313151941 421719648 626303882 843439296 939455823 1252607764 1878911646 2192063587 2505215528 3757823292 4384127174 5010431056 6576190761 7515646584 8768254348 10020862112 13152381522 15031293168 17536508696 20041724224 26304763044 30062586336 35073017392 52609526088 60125172672 70146034784 105219052176 140292069568 210438104352 420876208704