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38125917475950 = 23523494229172213
BaseRepresentation
bin10001010101100111000011…
…10001001001010001101110
311222222210122202000200210210
420222303201301021101232
514444123334333212300
6213030445451443250
711013335530321353
oct1052634161112156
9158883582020723
1038125917475950
111116a1245246a7
124339084756526
131837349181315
1495b438c1c62a
15461b2147b050
hex22ace1c4946e

38125917475950 has 96 divisors (see below), whose sum is σ = 94846171644000. Its totient is φ = 10135323717120.

The previous prime is 38125917475937. The next prime is 38125917475969. The reversal of 38125917475950 is 5957471952183.

It is a congruent number.

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, 221302044 + ... + 221474256.

It is an arithmetic number, because the mean of its divisors is an integer number (987980954625).

Almost surely, 238125917475950 is an apocalyptic number.

38125917475950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38125917475950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47423085822000).

38125917475950 is an abundant number, since it is smaller than the sum of its proper divisors (56720254168050).

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

38125917475950 is a wasteful number, since it uses less digits than its factorization.

38125917475950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176806 (or 176801 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 66.

The spelling of 38125917475950 in words is "thirty-eight trillion, one hundred twenty-five billion, nine hundred seventeen million, four hundred seventy-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 349 698 1047 1745 2094 3490 4229 5235 8458 8725 10470 12687 17450 21145 25374 26175 42290 52350 63435 105725 126870 172213 211450 317175 344426 516639 634350 861065 1033278 1475921 1722130 2583195 2951842 4305325 4427763 5166390 7379605 8610650 8855526 12915975 14759210 22138815 25831950 36898025 44277630 60102337 73796050 110694075 120204674 180307011 221388150 300511685 360614022 601023370 728288777 901535055 1456577554 1502558425 1803070110 2184866331 3005116850 3641443885 4369732662 4507675275 7282887770 9015350550 10924331655 18207219425 21848663310 36414438850 54621658275 109243316550 254172783173 508345566346 762518349519 1270863915865 1525036699038 2541727831730 3812591747595 6354319579325 7625183495190 12708639158650 19062958737975 38125917475950