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10480237093548 = 22323143613580211
BaseRepresentation
bin1001100010000001111011…
…0011110010001010101100
31101002220022202001022000200
42120200132303302022230
52333202011143443143
634142315432353500
72131113021315615
oct230403663621254
941086282038020
1010480237093548
113380709690382
121213182245890
135b0388a725c1
14283363746c0c
15132935a401d3
hex9881ecf22ac

10480237093548 has 144 divisors (see below), whose sum is σ = 28440974994432. Its totient is φ = 3247966512000.

The previous prime is 10480237093531. The next prime is 10480237093553. The reversal of 10480237093548 is 84539073208401.

It is a happy number.

10480237093548 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 0 + 2 + 3 + 7 + 0 + 93 + 548 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10480237093494 and 10480237093503.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1137163 + ... + 4717373.

Almost surely, 210480237093548 is an apocalyptic number.

10480237093548 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10480237093548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220487497216).

10480237093548 is an abundant number, since it is smaller than the sum of its proper divisors (17960737900884).

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

10480237093548 is a wasteful number, since it uses less digits than its factorization.

10480237093548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580356 (or 3580351 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 10480237093548 in words is "ten trillion, four hundred eighty billion, two hundred thirty-seven million, ninety-three thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 61 62 86 93 122 124 129 172 183 186 244 258 279 366 372 387 516 549 558 732 774 1098 1116 1333 1548 1891 2196 2623 2666 3782 3999 5246 5332 5673 7564 7869 7998 10492 11346 11997 15738 15996 17019 22692 23607 23994 31476 34038 47214 47988 68076 81313 94428 162626 243939 325252 487878 731817 975756 1463634 2927268 3580211 7160422 10740633 14320844 21481266 32221899 42962532 64443798 110986541 128887596 153949073 218392871 221973082 307898146 332959623 436785742 443946164 461847219 615796292 655178613 665919246 873571484 923694438 998878869 1310357226 1331838492 1385541657 1847388876 1965535839 1997757738 2620714452 2771083314 3931071678 3995515476 4772421263 5542166628 6770179001 7862143356 9390893453 9544842526 13540358002 14317263789 18781786906 19089685052 20310537003 27080716004 28172680359 28634527578 37563573812 40621074006 42951791367 56345360718 57269055156 60931611009 81242148012 84518041077 85903582734 112690721436 121863222018 169036082154 171807165468 243726444036 291117697043 338072164308 582235394086 873353091129 1164470788172 1746706182258 2620059273387 3493412364516 5240118546774 10480237093548