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47701841432 = 2373532411361
BaseRepresentation
bin101100011011010000…
…000101011000011000
311120010102102121201212
4230123100011120120
51240143132411212
633525224002252
73306044651000
oct543320053030
9146112377655
1047701841432
111925949a553
1292b3300388
1346628c0a9b
142447421000
151392c38e22
hexb1b405618

47701841432 has 128 divisors (see below), whose sum is σ = 106791696000. Its totient is φ = 19960012800.

The previous prime is 47701841413. The next prime is 47701841443. The reversal of 47701841432 is 23414810774.

It is a self number, because there is not a number n which added to its sum of digits gives 47701841432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35048432 + ... + 35049792.

It is an arithmetic number, because the mean of its divisors is an integer number (834310125).

Almost surely, 247701841432 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 47701841432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53395848000).

47701841432 is an abundant number, since it is smaller than the sum of its proper divisors (59089854568).

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

47701841432 is a wasteful number, since it uses less digits than its factorization.

47701841432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The spelling of 47701841432 in words is "forty-seven billion, seven hundred one million, eight hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 53 56 98 106 196 212 241 343 371 392 424 482 686 742 964 1361 1372 1484 1687 1928 2597 2722 2744 2968 3374 5194 5444 6748 9527 10388 10888 11809 12773 13496 18179 19054 20776 23618 25546 36358 38108 47236 51092 66689 72133 72716 76216 82663 89411 94472 102184 133378 144266 145432 165326 178822 266756 288532 328001 330652 357644 466823 504931 533512 577064 625877 656002 661304 715288 933646 1009862 1251754 1312004 1867292 2019724 2296007 2503508 2624008 3534517 3734584 4039448 4381139 4592014 5007016 7069034 8762278 9184028 14138068 16072049 17384053 17524556 18368056 24741619 28276136 32144098 34768106 35049112 49483238 64288196 69536212 98966476 112504343 121688371 128576392 139072424 197932952 225008686 243376742 450017372 486753484 851818597 900034744 973506968 1703637194 3407274388 5962730179 6814548776 11925460358 23850920716 47701841432