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47793694416 = 243132332711213
BaseRepresentation
bin101100100000101110…
…011110011011010000
311120100211021020100020
4230200232132123100
51240340141210131
633542304423440
73311241461646
oct544056363320
9146324236306
1047793694416
11192a6327006
12931a017b80
134678941270
1424556d1196
15139ad2e996
hexb20b9e6d0

47793694416 has 160 divisors (see below), whose sum is σ = 134138414592. Its totient is φ = 14576578560.

The previous prime is 47793694397. The next prime is 47793694433. The reversal of 47793694416 is 61449639774.

It is a self number, because there is not a number n which added to its sum of digits gives 47793694416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39400626 + ... + 39401838.

Almost surely, 247793694416 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 47793694416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67069207296).

47793694416 is an abundant number, since it is smaller than the sum of its proper divisors (86344720176).

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

47793694416 is a wasteful number, since it uses less digits than its factorization.

47793694416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1735 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 60.

The spelling of 47793694416 in words is "forty-seven billion, seven hundred ninety-three million, six hundred ninety-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 233 271 312 466 542 624 699 813 932 1084 1213 1398 1626 1864 2168 2426 2796 3029 3252 3523 3639 3728 4336 4852 5592 6058 6504 7046 7278 9087 9704 10569 11184 12116 13008 14092 14556 15769 18174 19408 21138 24232 28184 29112 31538 36348 42276 47307 48464 56368 58224 63076 63143 72696 84552 94614 126152 126286 145392 169104 189228 189429 252304 252572 282629 328723 378456 378858 505144 565258 657446 756912 757716 820859 847887 986169 1010288 1130516 1314892 1515432 1641718 1695774 1972338 2261032 2462577 2629784 3030864 3283436 3391548 3674177 3944676 4273399 4522064 4925154 5259568 6566872 6783096 7348354 7889352 8546798 9850308 11022531 12820197 13133744 13566192 14696708 15778704 17093596 19700616 22045062 25640394 29393416 34187192 39401232 44090124 51280788 58786832 68374384 76592459 88180248 102561576 153184918 176360496 205123152 229777377 306369836 459554754 612739672 919109508 995701967 1225479344 1838219016 1991403934 2987105901 3676438032 3982807868 5974211802 7965615736 11948423604 15931231472 23896847208 47793694416