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1474682146048 = 281931310177
BaseRepresentation
bin10101011101011001111…
…001111100110100000000
312012222102010121220021001
4111131121321330310000
5143130122112133143
63045243140141344
7211353666264166
oct25353171746400
95188363556231
101474682146048
11519455698a51
121b9978097854
13a90a60a0937
1451536dc3236
152855e83d14d
hex15759e7cd00

1474682146048 has 144 divisors (see below), whose sum is σ = 3202125821440. Its totient is φ = 675933880320.

The previous prime is 1474682146037. The next prime is 1474682146051. The reversal of 1474682146048 is 8406412864741.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1474682146048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144898336 + ... + 144908512.

Almost surely, 21474682146048 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 1474682146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601062910720).

1474682146048 is an abundant number, since it is smaller than the sum of its proper divisors (1727443675392).

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

1474682146048 is an frugal number, since it uses more digits than its factorization.

1474682146048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10305 (or 10229 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 55.

The spelling of 1474682146048 in words is "one trillion, four hundred seventy-four billion, six hundred eighty-two million, one hundred forty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 496 589 608 961 992 1178 1216 1922 1984 2356 2432 3844 3968 4712 4864 7688 7936 9424 10177 15376 18259 18848 20354 29791 30752 36518 37696 40708 59582 61504 73036 75392 81416 119164 123008 146072 150784 162832 193363 238328 246016 292144 315487 325664 386726 476656 566029 584288 630974 651328 773452 953312 1132058 1168576 1261948 1302656 1546904 1906624 2264116 2337152 2523896 2605312 3093808 3813248 4528232 4674304 5047792 5994253 6187616 7626496 9056464 9780097 10095584 11988506 12375232 18112928 19560194 20191168 23977012 24750464 36225856 39120388 40382336 47954024 49500928 72451712 78240776 80764672 95908048 144903424 156481552 185821843 191816096 303183007 312963104 371643686 383632192 606366014 625926208 743287372 767264384 1212732028 1251852416 1486574744 1534528768 2425464056 2503704832 2973149488 4850928112 5760477133 5946298976 9701856224 11520954266 11892597952 19403712448 23041908532 23785195904 38807424896 46083817064 47570391808 77614849792 92167634128 184335268256 368670536512 737341073024 1474682146048