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10069075148448 = 2531743143483173
BaseRepresentation
bin1001001010000110001110…
…1001011011111010100000
31022122121001011022100212210
42102201203221123322200
52304432431214222243
633225400321122120
72056316032411611
oct222414351337240
938577034270783
1010069075148448
1132322a846a468
121167554a89340
13580681ab7a24
1426b4bad99c08
15126dbe268933
hex92863a5bea0

10069075148448 has 96 divisors (see below), whose sum is σ = 28636945799616. Its totient is φ = 3085462130688.

The previous prime is 10069075148443. The next prime is 10069075148593. The reversal of 10069075148448 is 84484157096001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100690751484482 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10069075148443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71671411 + ... + 71811762.

It is an arithmetic number, because the mean of its divisors is an integer number (298301518746).

Almost surely, 210069075148448 is an apocalyptic number.

It is an amenable number.

10069075148448 is an abundant number, since it is smaller than the sum of its proper divisors (18567870651168).

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

10069075148448 is a wasteful number, since it uses less digits than its factorization.

10069075148448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143483246 (or 143483238 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 10069075148448 in words is "ten trillion, sixty-nine billion, seventy-five million, one hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 68 86 96 102 129 136 172 204 258 272 344 408 516 544 688 731 816 1032 1376 1462 1632 2064 2193 2924 4128 4386 5848 8772 11696 17544 23392 35088 70176 143483173 286966346 430449519 573932692 860899038 1147865384 1721798076 2295730768 2439213941 3443596152 4591461536 4878427882 6169776439 6887192304 7317641823 9756855764 12339552878 13774384608 14635283646 18509329317 19513711528 24679105756 29270567292 37018658634 39027423056 49358211512 58541134584 74037317268 78054846112 98716423024 104886199463 117082269168 148074634536 197432846048 209772398926 234164538336 296149269072 314658598389 419544797852 592298538144 629317196778 839089595704 1258634393556 1678179191408 2517268787112 3356358382816 5034537574224 10069075148448