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103148045784 = 2334747483827
BaseRepresentation
bin110000000010000011…
…0100100010111011000
3100212020120020122020000
41200010012210113120
53142221344431114
6115215140333000
710311050631360
oct1400406442730
9325216218200
10103148045784
113a821423533
1217ba80a4160
13995aa8a524
144dc71a39a0
152a3a7c3e09
hex18041a45d8

103148045784 has 160 divisors (see below), whose sum is σ = 337208762880. Its totient is φ = 28843770816.

The previous prime is 103148045783. The next prime is 103148045797. The reversal of 103148045784 is 487540841301.

103148045784 is a `hidden beast` number, since 1 + 0 + 31 + 48 + 0 + 4 + 578 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103148045783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28722 + ... + 455105.

It is an arithmetic number, because the mean of its divisors is an integer number (2107554768).

Almost surely, 2103148045784 is an apocalyptic number.

103148045784 is a gapful number since it is divisible by the number (14) 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 103148045784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168604381440).

103148045784 is an abundant number, since it is smaller than the sum of its proper divisors (234060717096).

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

103148045784 is a wasteful number, since it uses less digits than its factorization.

103148045784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483899 (or 483886 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 103148045784 in words is "one hundred three billion, one hundred forty-eight million, forty-five thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 81 84 94 108 126 141 162 168 188 189 216 252 282 324 329 376 378 423 504 564 567 648 658 756 846 987 1128 1134 1269 1316 1512 1692 1974 2268 2538 2632 2961 3384 3807 3948 4536 5076 5922 7614 7896 8883 10152 11844 15228 17766 23688 26649 30456 35532 53298 71064 106596 213192 483827 967654 1451481 1935308 2902962 3386789 3870616 4354443 5805924 6773578 8708886 10160367 11611848 13063329 13547156 17417772 20320734 22739869 26126658 27094312 30481101 34835544 39189987 40641468 45479738 52253316 60962202 68219607 78379974 81282936 90959476 91443303 104506632 121924404 136439214 156759948 159179083 181918952 182886606 204658821 243848808 272878428 274329909 313519896 318358166 365773212 409317642 477537249 545756856 548659818 613976463 636716332 731546424 818635284 955074498 1097319636 1227952926 1273432664 1432611747 1637270568 1841929389 1910148996 2194639272 2455905852 2865223494 3683858778 3820297992 4297835241 4911811704 5730446988 7367717556 8595670482 11460893976 12893505723 14735435112 17191340964 25787011446 34382681928 51574022892 103148045784