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48242266744 = 237353674951
BaseRepresentation
bin101100111011011101…
…101001001001111000
311121112002100001220011
4230323131221021320
51242300010013434
634055011111304
73325326334000
oct547335511170
9147462301804
1048242266744
1119506558041
1294242a2534
13471a85b189
1424990db000
1513c53d9e64
hexb3b769278

48242266744 has 128 divisors (see below), whose sum is σ = 109102464000. Its totient is φ = 19978358400.

The previous prime is 48242266703. The next prime is 48242266753. The reversal of 48242266744 is 44766224284.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 9741469 + ... + 9746419.

It is an arithmetic number, because the mean of its divisors is an integer number (852363000).

Almost surely, 248242266744 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 48242266744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54551232000).

48242266744 is an abundant number, since it is smaller than the sum of its proper divisors (60860197256).

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

48242266744 is a wasteful number, since it uses less digits than its factorization.

48242266744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5098 (or 5080 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 49.

The spelling of 48242266744 in words is "forty-eight billion, two hundred forty-two million, two hundred sixty-six thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 53 56 67 98 106 134 196 212 268 343 371 392 424 469 536 686 742 938 1372 1484 1876 2597 2744 2968 3283 3551 3752 4951 5194 6566 7102 9902 10388 13132 14204 18179 19804 20776 22981 24857 26264 28408 34657 36358 39608 45962 49714 69314 72716 91924 99428 138628 145432 173999 183848 198856 242599 262403 277256 331717 347998 485198 524806 663434 695996 970396 1049612 1217993 1326868 1391992 1698193 1836821 1940792 2099224 2322019 2435986 2653736 3396386 3673642 4644038 4871972 6792772 7347284 9288076 9743944 12857747 13585544 14694568 16254133 17581001 18576152 25715494 32508266 35162002 51430988 65016532 70324004 90004229 102861976 113778931 123067007 130033064 140648008 180008458 227557862 246134014 360016916 455115724 492268028 720033832 861469049 910231448 984536056 1722938098 3445876196 6030283343 6891752392 12060566686 24121133372 48242266744