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48018536929656 = 23342916011596043
BaseRepresentation
bin10101110101100001011111…
…10101100001100101111000
320022000112020101211000020000
422322300233311201211320
522243213430423222111
6250043224503033000
713054140052261536
oct1272605765414570
9208015211730200
1048018536929656
111433360228a987
125476392a3b760
1320a4189704447
14bc01769d1156
1558411424ac56
hex2bac2fd61978

48018536929656 has 160 divisors (see below), whose sum is σ = 139221162471600. Its totient is φ = 15444579225600.

The previous prime is 48018536929633. The next prime is 48018536929663. The reversal of 48018536929656 is 65692963581084.

It is a happy number.

48018536929656 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 8 + 536 + 9 + 29 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29287971 + ... + 30884013.

Almost surely, 248018536929656 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 48018536929656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69610581235800).

48018536929656 is an abundant number, since it is smaller than the sum of its proper divisors (91202625541944).

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

48018536929656 is a wasteful number, since it uses less digits than its factorization.

48018536929656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597691 (or 1597678 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 48018536929656 in words is "forty-eight trillion, eighteen billion, five hundred thirty-six million, nine hundred twenty-nine thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1566 1601 2088 2349 3132 3202 4698 4803 6264 6404 9396 9606 12808 14409 18792 19212 28818 38424 43227 46429 57636 86454 92858 115272 129681 139287 172908 185716 259362 278574 345816 371432 417861 518724 557148 835722 1037448 1114296 1253583 1596043 1671444 2507166 3192086 3342888 3760749 4788129 5014332 6384172 7521498 9576258 10028664 12768344 14364387 15042996 19152516 28728774 30085992 38305032 43093161 46285247 57457548 86186322 92570494 114915096 129279483 138855741 172372644 185140988 258558966 277711482 344745288 370281976 416567223 517117932 555422964 833134446 1034235864 1110845928 1249701669 1666268892 2499403338 2555264843 3332537784 3749105007 4998806676 5110529686 7498210014 7665794529 9997613352 10221059372 14996420028 15331589058 20442118744 22997383587 29992840056 30663178116 45994767174 61326356232 68992150761 74102680447 91989534348 137984301522 148205360894 183979068696 206976452283 222308041341 275968603044 296410721788 413952904566 444616082682 551937206088 592821443576 666924124023 827905809132 889232165364 1333848248046 1655811618264 1778464330728 2000772372069 2667696496092 4001544744138 5335392992184 6002317116207 8003089488276 12004634232414 16006178976552 24009268464828 48018536929656