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48959722795984 = 247111323313119853
BaseRepresentation
bin10110010000111010100101…
…11000101011001111010000
320102100111121021001212201221
423020131102320223033100
522404124003013432414
6252043441450334424
713212136400164240
oct1310352270531720
9212314537055657
1048959722795984
111466677a160730
1255a888012a414
132141b60b29050
14c1393dc75b20
1559d84c407224
hex2c8752e2b3d0

48959722795984 has 160 divisors (see below), whose sum is σ = 127910389711104. Its totient is φ = 17532320624640.

The previous prime is 48959722795931. The next prime is 48959722795993.

48959722795984 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (88).

It is a junction number, because it is equal to n+sod(n) for n = 48959722795895 and 48959722795904.

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, 2828199 + ... + 10291654.

Almost surely, 248959722795984 is an apocalyptic number.

48959722795984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48959722795984 is an abundant number, since it is smaller than the sum of its proper divisors (78950666915120).

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

48959722795984 is a wasteful number, since it uses less digits than its factorization.

48959722795984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13120125 (or 13120119 counting only the distinct ones).

The product of its digits is 32920473600, while the sum is 88.

The spelling of 48959722795984 in words is "forty-eight trillion, nine hundred fifty-nine billion, seven hundred twenty-two million, seven hundred ninety-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 233 286 308 364 466 572 616 728 932 1001 1144 1232 1456 1631 1864 2002 2288 2563 3029 3262 3728 4004 5126 6058 6524 8008 10252 12116 13048 16016 17941 20504 21203 24232 26096 33319 35882 41008 42406 48464 66638 71764 84812 133276 143528 169624 233233 266552 287056 339248 466466 533104 932932 1865864 3731728 13119853 26239706 52479412 91838971 104958824 144318383 170558089 183677942 209917648 288636766 341116178 367355884 577273532 682232356 734711768 1010228681 1154547064 1193906623 1364464712 1469423536 1876138979 2020457362 2309094128 2387813246 2728929424 3056925749 3752277958 4040914724 4775626492 6113851498 7504555916 8081829448 9551252984 12227702996 13132972853 15009111832 16163658896 19102505968 21398480243 24455405992 26265945706 30018223664 33626183239 39740034737 42796960486 48910811984 52531891412 67252366478 79480069474 85593920972 105063782824 134504732956 158960138948 171187841944 210127565648 235383282673 269009465912 278180243159 317920277896 342375683888 437140382107 470766565346 538018931824 556360486318 635840555792 874280764214 941533130692 1112720972636 1748561528428 1883066261384 2225441945272 3059982674749 3497123056856 3766132522768 4450883890544 6119965349498 6994246113712 12239930698996 24479861397992 48959722795984