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47299379664 = 2432324993733
BaseRepresentation
bin101100000011010000…
…110100000111010000
311112002101010102222110
4230003100310013100
51233332120122124
633421245505320
73263060044035
oct540320640720
9145071112873
1047299379664
11190722a3019
129200572240
1345ca3c9b24
142409bb938c
15136c73b029
hexb034341d0

47299379664 has 120 divisors (see below), whose sum is σ = 128023924000. Its totient is φ = 15046707456.

The previous prime is 47299379657. The next prime is 47299379723. The reversal of 47299379664 is 46697399274.

It is a junction number, because it is equal to n+sod(n) for n = 47299379595 and 47299379604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12668742 + ... + 12672474.

Almost surely, 247299379664 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 47299379664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64011962000).

47299379664 is an abundant number, since it is smaller than the sum of its proper divisors (80724544336).

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

47299379664 is a wasteful number, since it uses less digits than its factorization.

47299379664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289 (or 4260 counting only the distinct ones).

The product of its digits is 123451776, while the sum is 66.

The spelling of 47299379664 in words is "forty-seven billion, two hundred ninety-nine million, three hundred seventy-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 499 529 552 998 1058 1104 1497 1587 1996 2116 2994 3174 3733 3992 4232 5988 6348 7466 7984 8464 11199 11477 11976 12696 14932 22398 22954 23952 25392 29864 34431 44796 45908 59728 68862 85859 89592 91816 137724 171718 179184 183632 257577 263971 275448 343436 515154 527942 550896 686872 791913 1030308 1055884 1373744 1583826 1862767 1974757 2060616 2111768 3167652 3725534 3949514 4121232 4223536 5588301 5924271 6335304 7451068 7899028 11176602 11848542 12670608 14902136 15798056 22353204 23697084 29804272 31596112 42843641 44706408 47394168 85687282 89412816 94788336 128530923 171374564 257061846 342749128 514123692 685498256 985403743 1028247384 1970807486 2056494768 2956211229 3941614972 5912422458 7883229944 11824844916 15766459888 23649689832 47299379664