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75425643016104 = 23331674423342101
BaseRepresentation
bin10001001001100101100110…
…101010001010111110101000
3100220001121202202011110021210
4101021211212222022332220
534341233204103003404
6424230021223033120
721613215514236123
oct2111454652127650
9326047682143253
1075425643016104
112203a92115a577
128561bb329b7a0
1333117b8c1c9c4
14148a898cdb3ba
158abed9e9b689
hex449966a8afa8

75425643016104 has 128 divisors (see below), whose sum is σ = 197597239418880. Its totient is φ = 23962216608000.

The previous prime is 75425643016081. The next prime is 75425643016127. The reversal of 75425643016104 is 40161034652457.

It is an interprime number because it is at equal distance from previous prime (75425643016081) and next prime (75425643016127).

It is a super-2 number, since 2×754256430161042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220306654 + ... + 220648754.

It is an arithmetic number, because the mean of its divisors is an integer number (1543728432960).

Almost surely, 275425643016104 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 75425643016104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98798619709440).

75425643016104 is an abundant number, since it is smaller than the sum of its proper divisors (122171596402776).

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

75425643016104 is a wasteful number, since it uses less digits than its factorization.

75425643016104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346631 (or 346627 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 75425643016104 in words is "seventy-five trillion, four hundred twenty-five billion, six hundred forty-three million, sixteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 62 67 93 124 134 186 201 248 268 372 402 536 744 804 1608 2077 4154 4423 6231 8308 8846 12462 13269 16616 17692 24924 26538 35384 49848 53076 106152 137113 274226 296341 342101 411339 548452 592682 684202 822678 889023 1026303 1096904 1185364 1368404 1645356 1778046 2052606 2370728 2736808 3290712 3556092 4105212 7112184 8210424 9186571 10605131 18373142 21210262 22920767 27559713 31815393 36746284 42420524 45841534 55119426 63630786 68762301 73492568 84841048 91683068 110238852 127261572 137524602 183366136 220477704 254523144 275049204 550098408 710543777 1421087554 1513112723 2131631331 2842175108 3026225446 4263262662 4539338169 5684350216 6052450892 8526525324 9078676338 12104901784 17053050648 18157352676 36314705352 46906494413 93812988826 101378552441 140719483239 187625977652 202757104882 281438966478 304135657323 375251955304 405514209764 562877932956 608271314646 811028419528 1125755865912 1216542629292 2433085258584 3142735125671 6285470251342 9428205377013 12570940502684 18856410754026 25141881005368 37712821508052 75425643016104